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Finding the Third Proportional to 416,608 and 908,477

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Solution

The third proportional to 416,608 and 908,477 is: 1,981,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,608 : 908,477 = 908,477 : x
  2. Step 2: Convert to fraction form
    416,608/908,477 = 908,477/x
  3. Step 3: Cross multiply
    416,608x = 908,477 × 908,477
  4. Step 4: Simplify right side
    416,608x = 825,330,459,529
  5. Step 5: Solve for x
    x = 825,330,459,529/416,608
  6. Step 6: Final answer
    x = 1,981,072.04

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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.