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Finding the Third Proportional to 457,836 and 991,941

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Solution

The third proportional to 457,836 and 991,941 is: 2,149,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,836 : 991,941 = 991,941 : x
  2. Step 2: Convert to fraction form
    457,836/991,941 = 991,941/x
  3. Step 3: Cross multiply
    457,836x = 991,941 × 991,941
  4. Step 4: Simplify right side
    457,836x = 983,946,947,481
  5. Step 5: Solve for x
    x = 983,946,947,481/457,836
  6. Step 6: Final answer
    x = 2,149,125.34

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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.