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Finding the Third Proportional to 1,238,175 and 2,682,448

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Solution

The third proportional to 1,238,175 and 2,682,448 is: 5,811,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,175 : 2,682,448 = 2,682,448 : x
  2. Step 2: Convert to fraction form
    1,238,175/2,682,448 = 2,682,448/x
  3. Step 3: Cross multiply
    1,238,175x = 2,682,448 × 2,682,448
  4. Step 4: Simplify right side
    1,238,175x = 7,195,527,272,704
  5. Step 5: Solve for x
    x = 7,195,527,272,704/1,238,175
  6. Step 6: Final answer
    x = 5,811,397.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.