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Finding the Third Proportional to 951,946 and 1,982,622

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Solution

The third proportional to 951,946 and 1,982,622 is: 4,129,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,946 : 1,982,622 = 1,982,622 : x
  2. Step 2: Convert to fraction form
    951,946/1,982,622 = 1,982,622/x
  3. Step 3: Cross multiply
    951,946x = 1,982,622 × 1,982,622
  4. Step 4: Simplify right side
    951,946x = 3,930,789,994,884
  5. Step 5: Solve for x
    x = 3,930,789,994,884/951,946
  6. Step 6: Final answer
    x = 4,129,215.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.