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Finding the Third Proportional to 425,976 and 908,782

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Solution

The third proportional to 425,976 and 908,782 is: 1,938,805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,976 : 908,782 = 908,782 : x
  2. Step 2: Convert to fraction form
    425,976/908,782 = 908,782/x
  3. Step 3: Cross multiply
    425,976x = 908,782 × 908,782
  4. Step 4: Simplify right side
    425,976x = 825,884,723,524
  5. Step 5: Solve for x
    x = 825,884,723,524/425,976
  6. Step 6: Final answer
    x = 1,938,805.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.