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Finding the Third Proportional to 1,267,408 and 2,818,180

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Solution

The third proportional to 1,267,408 and 2,818,180 is: 6,266,441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,408 : 2,818,180 = 2,818,180 : x
  2. Step 2: Convert to fraction form
    1,267,408/2,818,180 = 2,818,180/x
  3. Step 3: Cross multiply
    1,267,408x = 2,818,180 × 2,818,180
  4. Step 4: Simplify right side
    1,267,408x = 7,942,138,512,400
  5. Step 5: Solve for x
    x = 7,942,138,512,400/1,267,408
  6. Step 6: Final answer
    x = 6,266,441.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.