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Finding the Third Proportional to 1,024,550 and 2,206,924

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Solution

The third proportional to 1,024,550 and 2,206,924 is: 4,753,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,550 : 2,206,924 = 2,206,924 : x
  2. Step 2: Convert to fraction form
    1,024,550/2,206,924 = 2,206,924/x
  3. Step 3: Cross multiply
    1,024,550x = 2,206,924 × 2,206,924
  4. Step 4: Simplify right side
    1,024,550x = 4,870,513,541,776
  5. Step 5: Solve for x
    x = 4,870,513,541,776/1,024,550
  6. Step 6: Final answer
    x = 4,753,807.57

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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.