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Finding the Third Proportional to 801,684 and 1,198,638

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Solution

The third proportional to 801,684 and 1,198,638 is: 1,792,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,684 : 1,198,638 = 1,198,638 : x
  2. Step 2: Convert to fraction form
    801,684/1,198,638 = 1,198,638/x
  3. Step 3: Cross multiply
    801,684x = 1,198,638 × 1,198,638
  4. Step 4: Simplify right side
    801,684x = 1,436,733,055,044
  5. Step 5: Solve for x
    x = 1,436,733,055,044/801,684
  6. Step 6: Final answer
    x = 1,792,143.86

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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.