This is a dimensional analysis problem where you are required to convert days to hours, and then hours to minutes, and finally minutes to seconds without rounding off until the last step.
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60×60×24=86400 (Sec in a day) let the number of days in a year be 365. 86400×365=31536000 ~=31500000 (Sec in a year, corr. to 3 s.f.)
by Level 1 User (600 points)

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