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Finding the Third Proportional to 731,460 and 1,587,566

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Solution

The third proportional to 731,460 and 1,587,566 is: 3,445,664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,460 : 1,587,566 = 1,587,566 : x
  2. Step 2: Convert to fraction form
    731,460/1,587,566 = 1,587,566/x
  3. Step 3: Cross multiply
    731,460x = 1,587,566 × 1,587,566
  4. Step 4: Simplify right side
    731,460x = 2,520,365,804,356
  5. Step 5: Solve for x
    x = 2,520,365,804,356/731,460
  6. Step 6: Final answer
    x = 3,445,664.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.