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Finding the Third Proportional to 457,065 and 992,754

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Solution

The third proportional to 457,065 and 992,754 is: 2,156,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,065 : 992,754 = 992,754 : x
  2. Step 2: Convert to fraction form
    457,065/992,754 = 992,754/x
  3. Step 3: Cross multiply
    457,065x = 992,754 × 992,754
  4. Step 4: Simplify right side
    457,065x = 985,560,504,516
  5. Step 5: Solve for x
    x = 985,560,504,516/457,065
  6. Step 6: Final answer
    x = 2,156,280.85

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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.