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Finding the Third Proportional to 1,238,177 and 2,682,452

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Solution

The third proportional to 1,238,177 and 2,682,452 is: 5,811,405.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,177 : 2,682,452 = 2,682,452 : x
  2. Step 2: Convert to fraction form
    1,238,177/2,682,452 = 2,682,452/x
  3. Step 3: Cross multiply
    1,238,177x = 2,682,452 × 2,682,452
  4. Step 4: Simplify right side
    1,238,177x = 7,195,548,732,304
  5. Step 5: Solve for x
    x = 7,195,548,732,304/1,238,177
  6. Step 6: Final answer
    x = 5,811,405.58

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Why These Related Problems?

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