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Finding the Third Proportional to 416,595 and 908,451

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Solution

The third proportional to 416,595 and 908,451 is: 1,981,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,595 : 908,451 = 908,451 : x
  2. Step 2: Convert to fraction form
    416,595/908,451 = 908,451/x
  3. Step 3: Cross multiply
    416,595x = 908,451 × 908,451
  4. Step 4: Simplify right side
    416,595x = 825,283,219,401
  5. Step 5: Solve for x
    x = 825,283,219,401/416,595
  6. Step 6: Final answer
    x = 1,981,020.46

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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.