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Finding the Third Proportional to 3,174,948.38 and 4,769,575.88

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Solution

The third proportional to 3,174,948.38 and 4,769,575.88 is: 7,165,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174,948.38 : 4,769,575.88 = 4,769,575.88 : x
  2. Step 2: Convert to fraction form
    3,174,948.38/4,769,575.88 = 4,769,575.88/x
  3. Step 3: Cross multiply
    3,174,948.38x = 4,769,575.88 × 4,769,575.88
  4. Step 4: Simplify right side
    3,174,948.38x = 22,748,854,027,382.02
  5. Step 5: Solve for x
    x = 22,748,854,027,382.02/3,174,948.38
  6. Step 6: Final answer
    x = 7,165,109.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.