Calculus anyone?

Algebra Level 4

\[\sqrt{x^2-3710x+3510194}+\sqrt{y^2+1476225}+\sqrt{x^2+y^2-2430x-1058y+1756066}\]

If \(x\) and \(y\) are real numbers, find the minimum value of the expression above.

\(\)


Happy New Year 2017!
Adapted from IMO 2014 Prelim HK
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