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Finding the Third Proportional to 530,938.13 and 1,155,178.13

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Solution

The third proportional to 530,938.13 and 1,155,178.13 is: 2,513,355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,938.13 : 1,155,178.13 = 1,155,178.13 : x
  2. Step 2: Convert to fraction form
    530,938.13/1,155,178.13 = 1,155,178.13/x
  3. Step 3: Cross multiply
    530,938.13x = 1,155,178.13 × 1,155,178.13
  4. Step 4: Simplify right side
    530,938.13x = 1,334,436,500,478.52
  5. Step 5: Solve for x
    x = 1,334,436,500,478.52/530,938.13
  6. Step 6: Final answer
    x = 2,513,355.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.