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Finding the Third Proportional to 457,082 and 984,405

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Solution

The third proportional to 457,082 and 984,405 is: 2,120,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,082 : 984,405 = 984,405 : x
  2. Step 2: Convert to fraction form
    457,082/984,405 = 984,405/x
  3. Step 3: Cross multiply
    457,082x = 984,405 × 984,405
  4. Step 4: Simplify right side
    457,082x = 969,053,204,025
  5. Step 5: Solve for x
    x = 969,053,204,025/457,082
  6. Step 6: Final answer
    x = 2,120,086.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.