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Finding the Third Proportional to 521,245.13 and 1,142,134.88

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Solution

The third proportional to 521,245.13 and 1,142,134.88 is: 2,502,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,245.13 : 1,142,134.88 = 1,142,134.88 : x
  2. Step 2: Convert to fraction form
    521,245.13/1,142,134.88 = 1,142,134.88/x
  3. Step 3: Cross multiply
    521,245.13x = 1,142,134.88 × 1,142,134.88
  4. Step 4: Simplify right side
    521,245.13x = 1,304,472,072,691.27
  5. Step 5: Solve for x
    x = 1,304,472,072,691.27/521,245.13
  6. Step 6: Final answer
    x = 2,502,607.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.