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Finding the Third Proportional to 463,016 and 982,876

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Solution

The third proportional to 463,016 and 982,876 is: 2,086,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,016 : 982,876 = 982,876 : x
  2. Step 2: Convert to fraction form
    463,016/982,876 = 982,876/x
  3. Step 3: Cross multiply
    463,016x = 982,876 × 982,876
  4. Step 4: Simplify right side
    463,016x = 966,045,231,376
  5. Step 5: Solve for x
    x = 966,045,231,376/463,016
  6. Step 6: Final answer
    x = 2,086,418.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.