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Even a 1" group at 100 (which most good rifles are quite easily capable of doing) is only going to be around 8 inches at 600. "3 in a dime", literally outer edges inside a dime, is about 1/3 MOA. That translates to 2 or 3 inches at 600.
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Wow! I can shoot like that from a bench, but have serious doubts about doing that using hunting positions (even prone), when excited, out of breath from the thin air, just haven ridden a horse following the Elk guide up the mountain as if my life depended upon it. I am considered a "good" shot (several local competition awards), better than most, but I still would not attempt those long shots.
I anticipate the usual response of, "just because you cannot do it, does not mean that someone else cannot do it." The question should be, should they attempt it instead of getting closer?
Would there be more, or would there be less bad hits and wasted game if more hunters actually passed up a long shot and attempted to get closer?