7mm Mag will get you there, no problem. A muzzle brake will make it a much more pleasant learning curve.
My buddy Stephen has shot a re-furb/converted Dick's Sporting Goods Black Friday 7mm Mag CZ Mauser with a 10X Super Sniper scope to a mile. He's outshot a few guys with high-end rifles and expensive Euro-glass telescopes.
1760 yards can be a stretch -- have good sandbags, a good load, and a competent spotter. Steel targets aren't mandatory but make life a whole lot easier.
Re-booted Mauser on the right:
1 Mile target (fingers flashing "M" for a mile:
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