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Finding the Third Proportional to 542,046.38 and 1,167,339.38

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Solution

The third proportional to 542,046.38 and 1,167,339.38 is: 2,513,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,046.38 : 1,167,339.38 = 1,167,339.38 : x
  2. Step 2: Convert to fraction form
    542,046.38/1,167,339.38 = 1,167,339.38/x
  3. Step 3: Cross multiply
    542,046.38x = 1,167,339.38 × 1,167,339.38
  4. Step 4: Simplify right side
    542,046.38x = 1,362,681,216,425.39
  5. Step 5: Solve for x
    x = 1,362,681,216,425.39/542,046.38
  6. Step 6: Final answer
    x = 2,513,956.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.