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Finding the Third Proportional to 3,498,734.25 and 5,217,760.69

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Solution

The third proportional to 3,498,734.25 and 5,217,760.69 is: 7,781,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498,734.25 : 5,217,760.69 = 5,217,760.69 : x
  2. Step 2: Convert to fraction form
    3,498,734.25/5,217,760.69 = 5,217,760.69/x
  3. Step 3: Cross multiply
    3,498,734.25x = 5,217,760.69 × 5,217,760.69
  4. Step 4: Simplify right side
    3,498,734.25x = 27,225,026,592,020.47
  5. Step 5: Solve for x
    x = 27,225,026,592,020.47/3,498,734.25
  6. Step 6: Final answer
    x = 7,781,393.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.