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Finding the Third Proportional to 416,610 and 908,481

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Solution

The third proportional to 416,610 and 908,481 is: 1,981,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,610 : 908,481 = 908,481 : x
  2. Step 2: Convert to fraction form
    416,610/908,481 = 908,481/x
  3. Step 3: Cross multiply
    416,610x = 908,481 × 908,481
  4. Step 4: Simplify right side
    416,610x = 825,337,727,361
  5. Step 5: Solve for x
    x = 825,337,727,361/416,610
  6. Step 6: Final answer
    x = 1,981,079.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.