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Finding the Third Proportional to 513,702 and 1,098,694.13

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Solution

The third proportional to 513,702 and 1,098,694.13 is: 2,349,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,702 : 1,098,694.13 = 1,098,694.13 : x
  2. Step 2: Convert to fraction form
    513,702/1,098,694.13 = 1,098,694.13/x
  3. Step 3: Cross multiply
    513,702x = 1,098,694.13 × 1,098,694.13
  4. Step 4: Simplify right side
    513,702x = 1,207,128,780,309.52
  5. Step 5: Solve for x
    x = 1,207,128,780,309.52/513,702
  6. Step 6: Final answer
    x = 2,349,861.94

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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.