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Finding the Third Proportional to 461,171 and 991,231

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Solution

The third proportional to 461,171 and 991,231 is: 2,130,530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,171 : 991,231 = 991,231 : x
  2. Step 2: Convert to fraction form
    461,171/991,231 = 991,231/x
  3. Step 3: Cross multiply
    461,171x = 991,231 × 991,231
  4. Step 4: Simplify right side
    461,171x = 982,538,895,361
  5. Step 5: Solve for x
    x = 982,538,895,361/461,171
  6. Step 6: Final answer
    x = 2,130,530.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.