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Finding the Third Proportional to 418,554 and 908,458

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Solution

The third proportional to 418,554 and 908,458 is: 1,971,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,554 : 908,458 = 908,458 : x
  2. Step 2: Convert to fraction form
    418,554/908,458 = 908,458/x
  3. Step 3: Cross multiply
    418,554x = 908,458 × 908,458
  4. Step 4: Simplify right side
    418,554x = 825,295,937,764
  5. Step 5: Solve for x
    x = 825,295,937,764/418,554
  6. Step 6: Final answer
    x = 1,971,778.88

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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.