Archeologists have discovered the ledgendary Golden Igloo of the Pribiloff Islands, a structure consisting of half-spherical shell with an inner diameter of 1.25 m and an out diameter of 1.45 m. What is the value of this antiquity, given that gold currently sells for $1,263/ounce and has a density of 19.3 g/cm^3? (Note that 1 ounce =31.1034768 g)
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