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Finding the Third Proportional to 754,805.25 and 1,142,022.38

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Solution

The third proportional to 754,805.25 and 1,142,022.38 is: 1,727,882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,805.25 : 1,142,022.38 = 1,142,022.38 : x
  2. Step 2: Convert to fraction form
    754,805.25/1,142,022.38 = 1,142,022.38/x
  3. Step 3: Cross multiply
    754,805.25x = 1,142,022.38 × 1,142,022.38
  4. Step 4: Simplify right side
    754,805.25x = 1,304,215,105,000.64
  5. Step 5: Solve for x
    x = 1,304,215,105,000.64/754,805.25
  6. Step 6: Final answer
    x = 1,727,882.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.