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Put the nine number cards $$(1,2,3,6,\frac{1}{6},\frac{1}{3},\frac{1}{2}, \frac{2}{3},\frac{3}{2})$$ onto a square $3$ by $3$ grid so that each card occupies one square and the product of every row, column and diagonal is equal to $1$.
 
 
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This problem is taken from the UKMT Mathematical Challenges.