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Finding the Third Proportional to 3,231,569 and 4,914,498

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Solution

The third proportional to 3,231,569 and 4,914,498 is: 7,473,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231,569 : 4,914,498 = 4,914,498 : x
  2. Step 2: Convert to fraction form
    3,231,569/4,914,498 = 4,914,498/x
  3. Step 3: Cross multiply
    3,231,569x = 4,914,498 × 4,914,498
  4. Step 4: Simplify right side
    3,231,569x = 24,152,290,592,004
  5. Step 5: Solve for x
    x = 24,152,290,592,004/3,231,569
  6. Step 6: Final answer
    x = 7,473,858.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.