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Finding the Third Proportional to 457,935 and 992,142

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Solution

The third proportional to 457,935 and 992,142 is: 2,149,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,935 : 992,142 = 992,142 : x
  2. Step 2: Convert to fraction form
    457,935/992,142 = 992,142/x
  3. Step 3: Cross multiply
    457,935x = 992,142 × 992,142
  4. Step 4: Simplify right side
    457,935x = 984,345,748,164
  5. Step 5: Solve for x
    x = 984,345,748,164/457,935
  6. Step 6: Final answer
    x = 2,149,531.59

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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.