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Finding the Third Proportional to 731,102 and 1,090,566

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Solution

The third proportional to 731,102 and 1,090,566 is: 1,626,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,102 : 1,090,566 = 1,090,566 : x
  2. Step 2: Convert to fraction form
    731,102/1,090,566 = 1,090,566/x
  3. Step 3: Cross multiply
    731,102x = 1,090,566 × 1,090,566
  4. Step 4: Simplify right side
    731,102x = 1,189,334,200,356
  5. Step 5: Solve for x
    x = 1,189,334,200,356/731,102
  6. Step 6: Final answer
    x = 1,626,769.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.