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Finding the Third Proportional to 649,110 and 998,337

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Solution

The third proportional to 649,110 and 998,337 is: 1,535,451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,110 : 998,337 = 998,337 : x
  2. Step 2: Convert to fraction form
    649,110/998,337 = 998,337/x
  3. Step 3: Cross multiply
    649,110x = 998,337 × 998,337
  4. Step 4: Simplify right side
    649,110x = 996,676,765,569
  5. Step 5: Solve for x
    x = 996,676,765,569/649,110
  6. Step 6: Final answer
    x = 1,535,451.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.