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Finding the Third Proportional to 3,798,962 and 5,432,163

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Solution

The third proportional to 3,798,962 and 5,432,163 is: 7,767,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798,962 : 5,432,163 = 5,432,163 : x
  2. Step 2: Convert to fraction form
    3,798,962/5,432,163 = 5,432,163/x
  3. Step 3: Cross multiply
    3,798,962x = 5,432,163 × 5,432,163
  4. Step 4: Simplify right side
    3,798,962x = 29,508,394,858,569
  5. Step 5: Solve for x
    x = 29,508,394,858,569/3,798,962
  6. Step 6: Final answer
    x = 7,767,488.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.