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Finding the Third Proportional to 747,366.75 and 1,160,421.19

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Solution

The third proportional to 747,366.75 and 1,160,421.19 is: 1,801,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,366.75 : 1,160,421.19 = 1,160,421.19 : x
  2. Step 2: Convert to fraction form
    747,366.75/1,160,421.19 = 1,160,421.19/x
  3. Step 3: Cross multiply
    747,366.75x = 1,160,421.19 × 1,160,421.19
  4. Step 4: Simplify right side
    747,366.75x = 1,346,577,332,398.91
  5. Step 5: Solve for x
    x = 1,346,577,332,398.91/747,366.75
  6. Step 6: Final answer
    x = 1,801,762.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.