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Finding the Third Proportional to 625,849 and 941,689

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Solution

The third proportional to 625,849 and 941,689 is: 1,416,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,849 : 941,689 = 941,689 : x
  2. Step 2: Convert to fraction form
    625,849/941,689 = 941,689/x
  3. Step 3: Cross multiply
    625,849x = 941,689 × 941,689
  4. Step 4: Simplify right side
    625,849x = 886,778,172,721
  5. Step 5: Solve for x
    x = 886,778,172,721/625,849
  6. Step 6: Final answer
    x = 1,416,920.33

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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.