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Finding the Third Proportional to 4,121,469 and 6,304,591

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Solution

The third proportional to 4,121,469 and 6,304,591 is: 9,644,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121,469 : 6,304,591 = 6,304,591 : x
  2. Step 2: Convert to fraction form
    4,121,469/6,304,591 = 6,304,591/x
  3. Step 3: Cross multiply
    4,121,469x = 6,304,591 × 6,304,591
  4. Step 4: Simplify right side
    4,121,469x = 39,747,867,677,281
  5. Step 5: Solve for x
    x = 39,747,867,677,281/4,121,469
  6. Step 6: Final answer
    x = 9,644,102.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.