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Finding the Third Proportional to 463,012 and 982,868

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Solution

The third proportional to 463,012 and 982,868 is: 2,086,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,012 : 982,868 = 982,868 : x
  2. Step 2: Convert to fraction form
    463,012/982,868 = 982,868/x
  3. Step 3: Cross multiply
    463,012x = 982,868 × 982,868
  4. Step 4: Simplify right side
    463,012x = 966,029,505,424
  5. Step 5: Solve for x
    x = 966,029,505,424/463,012
  6. Step 6: Final answer
    x = 2,086,402.74

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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.