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Finding the Third Proportional to 458,691.75 and 1,036,306.13

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Solution

The third proportional to 458,691.75 and 1,036,306.13 is: 2,341,289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,691.75 : 1,036,306.13 = 1,036,306.13 : x
  2. Step 2: Convert to fraction form
    458,691.75/1,036,306.13 = 1,036,306.13/x
  3. Step 3: Cross multiply
    458,691.75x = 1,036,306.13 × 1,036,306.13
  4. Step 4: Simplify right side
    458,691.75x = 1,073,930,384,712.52
  5. Step 5: Solve for x
    x = 1,073,930,384,712.52/458,691.75
  6. Step 6: Final answer
    x = 2,341,289.95

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.