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Finding the Third Proportional to 408,082 and 888,442

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Solution

The third proportional to 408,082 and 888,442 is: 1,934,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,082 : 888,442 = 888,442 : x
  2. Step 2: Convert to fraction form
    408,082/888,442 = 888,442/x
  3. Step 3: Cross multiply
    408,082x = 888,442 × 888,442
  4. Step 4: Simplify right side
    408,082x = 789,329,187,364
  5. Step 5: Solve for x
    x = 789,329,187,364/408,082
  6. Step 6: Final answer
    x = 1,934,241.62

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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.