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Finding the Third Proportional to 1,024,549 and 2,206,921

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Solution

The third proportional to 1,024,549 and 2,206,921 is: 4,753,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,549 : 2,206,921 = 2,206,921 : x
  2. Step 2: Convert to fraction form
    1,024,549/2,206,921 = 2,206,921/x
  3. Step 3: Cross multiply
    1,024,549x = 2,206,921 × 2,206,921
  4. Step 4: Simplify right side
    1,024,549x = 4,870,500,300,241
  5. Step 5: Solve for x
    x = 4,870,500,300,241/1,024,549
  6. Step 6: Final answer
    x = 4,753,799.28

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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.