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Finding the Third Proportional to 1,024,566 and 2,206,956

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Solution

The third proportional to 1,024,566 and 2,206,956 is: 4,753,871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,566 : 2,206,956 = 2,206,956 : x
  2. Step 2: Convert to fraction form
    1,024,566/2,206,956 = 2,206,956/x
  3. Step 3: Cross multiply
    1,024,566x = 2,206,956 × 2,206,956
  4. Step 4: Simplify right side
    1,024,566x = 4,870,654,785,936
  5. Step 5: Solve for x
    x = 4,870,654,785,936/1,024,566
  6. Step 6: Final answer
    x = 4,753,871.19

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