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Finding the Third Proportional to 3,278,161.13 and 4,917,241.69

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Solution

The third proportional to 3,278,161.13 and 4,917,241.69 is: 7,375,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278,161.13 : 4,917,241.69 = 4,917,241.69 : x
  2. Step 2: Convert to fraction form
    3,278,161.13/4,917,241.69 = 4,917,241.69/x
  3. Step 3: Cross multiply
    3,278,161.13x = 4,917,241.69 × 4,917,241.69
  4. Step 4: Simplify right side
    3,278,161.13x = 24,179,265,813,287.85
  5. Step 5: Solve for x
    x = 24,179,265,813,287.85/3,278,161.13
  6. Step 6: Final answer
    x = 7,375,862.53

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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.