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Finding the Third Proportional to 457,697 and 996,762

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Solution

The third proportional to 457,697 and 996,762 is: 2,170,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,697 : 996,762 = 996,762 : x
  2. Step 2: Convert to fraction form
    457,697/996,762 = 996,762/x
  3. Step 3: Cross multiply
    457,697x = 996,762 × 996,762
  4. Step 4: Simplify right side
    457,697x = 993,534,484,644
  5. Step 5: Solve for x
    x = 993,534,484,644/457,697
  6. Step 6: Final answer
    x = 2,170,725.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.