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Finding the Third Proportional to 510,421.50 and 1,103,949

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Solution

The third proportional to 510,421.50 and 1,103,949 is: 2,387,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,421.50 : 1,103,949 = 1,103,949 : x
  2. Step 2: Convert to fraction form
    510,421.50/1,103,949 = 1,103,949/x
  3. Step 3: Cross multiply
    510,421.50x = 1,103,949 × 1,103,949
  4. Step 4: Simplify right side
    510,421.50x = 1,218,703,394,601
  5. Step 5: Solve for x
    x = 1,218,703,394,601/510,421.50
  6. Step 6: Final answer
    x = 2,387,641.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.