I don't believe anyone has moved off on a tangent. The OP showed a photo of a 70mm Brenneke style slug and questioned was it (along with the other pictured shells) safe to shoot in a 2 3/4 inch chambered shotgun. Typing slowly - Yes they are. Someone else began a dialogue about slugs and full-choked guns - The slug he showed a picture of is a 70 mm Brenneke style that is perfectly safe to shoot in a 2 3/4 inch gun - full choke or otherwise.
He has followed that initial post with a second that shows he is still hung up on mm's and fired casing length. Those two posts have been his sole contribution. Any tangents have been provided by those responding.
Back to the OP. I am repeating myself, but regardless of shot size, load, etc, assuming your shotgun is a modern gun in good shape, I repeat - Your 2 3/4 inch or 70 mm chambered shotgun will handle any load designed for a 2 3/4 inch or 70 mm gun. The box of shells and the shell itself will be clearly marked. The answers are not in the least conflicting. Throw away the ruler. This is pretty simple.
But I will move on. Everyone has answered the base question consistently and accurately.
I understand, @Red Leg . I'm just asking the OP to come back on and ask "the real question". I think there is more to his inquiry. He's working on a "solution" to some "problem" or "need" he has in his head. He hasn't stated what he is really thinking. Beyond staving off a physical injury, I don't think the OP is equipped to move forward solving his problem, he just learned that 2-3/4" marked shells fit in 2-3/4" marked chambers thus far.
I'm encouraging him to lay out what he is trying to do. Does he want to hunt with slugs? What continent/nation? Does he want something accurate, or something that will work at 30 yards? Does he need a gun that will let him shoot 30 yards with slugs and also hunt birds with shot, or is this a purpose-built solution he's trying to figure out for large game?
Sometimes answering a new person's question directly can be unhelpful, because the assumptions that lead to the question may be faulty.