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Finding the Third Proportional to 457,984 and 992,204

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Solution

The third proportional to 457,984 and 992,204 is: 2,149,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,984 : 992,204 = 992,204 : x
  2. Step 2: Convert to fraction form
    457,984/992,204 = 992,204/x
  3. Step 3: Cross multiply
    457,984x = 992,204 × 992,204
  4. Step 4: Simplify right side
    457,984x = 984,468,777,616
  5. Step 5: Solve for x
    x = 984,468,777,616/457,984
  6. Step 6: Final answer
    x = 2,149,570.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.