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Finding the Third Proportional to 4,306,834 and 6,687,807

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Solution

The third proportional to 4,306,834 and 6,687,807 is: 10,385,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306,834 : 6,687,807 = 6,687,807 : x
  2. Step 2: Convert to fraction form
    4,306,834/6,687,807 = 6,687,807/x
  3. Step 3: Cross multiply
    4,306,834x = 6,687,807 × 6,687,807
  4. Step 4: Simplify right side
    4,306,834x = 44,726,762,469,249
  5. Step 5: Solve for x
    x = 44,726,762,469,249/4,306,834
  6. Step 6: Final answer
    x = 10,385,067.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.