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Finding the Third Proportional to 419,478 and 908,940

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Solution

The third proportional to 419,478 and 908,940 is: 1,969,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,478 : 908,940 = 908,940 : x
  2. Step 2: Convert to fraction form
    419,478/908,940 = 908,940/x
  3. Step 3: Cross multiply
    419,478x = 908,940 × 908,940
  4. Step 4: Simplify right side
    419,478x = 826,171,923,600
  5. Step 5: Solve for x
    x = 826,171,923,600/419,478
  6. Step 6: Final answer
    x = 1,969,523.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.