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Shortest distance (from the easternmost point of the US, to the westernmost point of denmark), the best I can calculate--3,227.32
But that's just the straight distance between those point, so in terms of travel, it probably has little bearing.
According to http://www.webflyer.com/travel/mileage_calculator/getmileage.php?city=Copenhagen%2C+Denmark&city=Boston%2C+MA&city=&city=&city=&bonus=0&bonus_use_min=0&class_bonus=0&class_bonus_use_min=0&promo_bonus=0&promo_bonus_use_min=0&min=0&min_type=m&ticket_price= , the distance from Copenhagen, DK to Boston, MA is 3,660 miles.
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