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Finding the Third Proportional to 3,947,104.69 and 5,904,591.19

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Solution

The third proportional to 3,947,104.69 and 5,904,591.19 is: 8,832,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947,104.69 : 5,904,591.19 = 5,904,591.19 : x
  2. Step 2: Convert to fraction form
    3,947,104.69/5,904,591.19 = 5,904,591.19/x
  3. Step 3: Cross multiply
    3,947,104.69x = 5,904,591.19 × 5,904,591.19
  4. Step 4: Simplify right side
    3,947,104.69x = 34,864,197,091,502.66
  5. Step 5: Solve for x
    x = 34,864,197,091,502.66/3,947,104.69
  6. Step 6: Final answer
    x = 8,832,853.41

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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.