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Finding the Third Proportional to 457,938 and 992,146

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Solution

The third proportional to 457,938 and 992,146 is: 2,149,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,938 : 992,146 = 992,146 : x
  2. Step 2: Convert to fraction form
    457,938/992,146 = 992,146/x
  3. Step 3: Cross multiply
    457,938x = 992,146 × 992,146
  4. Step 4: Simplify right side
    457,938x = 984,353,685,316
  5. Step 5: Solve for x
    x = 984,353,685,316/457,938
  6. Step 6: Final answer
    x = 2,149,534.84

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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.