Finding the Third Proportional to 502,706 and 1,077,374
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Solution
The third proportional to 502,706 and 1,077,374 is: 2,308,973.31
Step by Step Solution
- Step 1: Write the proportion equation
502,706 : 1,077,374 = 1,077,374 : x - Step 2: Convert to fraction form
502,706/1,077,374 = 1,077,374/x - Step 3: Cross multiply
502,706x = 1,077,374 × 1,077,374 - Step 4: Simplify right side
502,706x = 1,160,734,735,876 - Step 5: Solve for x
x = 1,160,734,735,876/502,706 - Step 6: Final answer
x = 2,308,973.31
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.