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Finding the Third Proportional to 457,672 and 991,592

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Solution

The third proportional to 457,672 and 991,592 is: 2,148,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,672 : 991,592 = 991,592 : x
  2. Step 2: Convert to fraction form
    457,672/991,592 = 991,592/x
  3. Step 3: Cross multiply
    457,672x = 991,592 × 991,592
  4. Step 4: Simplify right side
    457,672x = 983,254,694,464
  5. Step 5: Solve for x
    x = 983,254,694,464/457,672
  6. Step 6: Final answer
    x = 2,148,382.89

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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.