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Finding the Third Proportional to 632,544 and 1,361,802

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Solution

The third proportional to 632,544 and 1,361,802 is: 2,931,819.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,544 : 1,361,802 = 1,361,802 : x
  2. Step 2: Convert to fraction form
    632,544/1,361,802 = 1,361,802/x
  3. Step 3: Cross multiply
    632,544x = 1,361,802 × 1,361,802
  4. Step 4: Simplify right side
    632,544x = 1,854,504,687,204
  5. Step 5: Solve for x
    x = 1,854,504,687,204/632,544
  6. Step 6: Final answer
    x = 2,931,819.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.