Finding the Third Proportional to 419,056 and 932,962
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Solution
The third proportional to 419,056 and 932,962 is: 2,077,092.54
Step by Step Solution
- Step 1: Write the proportion equation
419,056 : 932,962 = 932,962 : x - Step 2: Convert to fraction form
419,056/932,962 = 932,962/x - Step 3: Cross multiply
419,056x = 932,962 × 932,962 - Step 4: Simplify right side
419,056x = 870,418,093,444 - Step 5: Solve for x
x = 870,418,093,444/419,056 - Step 6: Final answer
x = 2,077,092.54
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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.