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Finding the Third Proportional to 801,474 and 1,199,699

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Solution

The third proportional to 801,474 and 1,199,699 is: 1,795,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,474 : 1,199,699 = 1,199,699 : x
  2. Step 2: Convert to fraction form
    801,474/1,199,699 = 1,199,699/x
  3. Step 3: Cross multiply
    801,474x = 1,199,699 × 1,199,699
  4. Step 4: Simplify right side
    801,474x = 1,439,277,690,601
  5. Step 5: Solve for x
    x = 1,439,277,690,601/801,474
  6. Step 6: Final answer
    x = 1,795,788.37

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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.