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Finding the Third Proportional to 1,352,198 and 2,024,067

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Solution

The third proportional to 1,352,198 and 2,024,067 is: 3,029,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352,198 : 2,024,067 = 2,024,067 : x
  2. Step 2: Convert to fraction form
    1,352,198/2,024,067 = 2,024,067/x
  3. Step 3: Cross multiply
    1,352,198x = 2,024,067 × 2,024,067
  4. Step 4: Simplify right side
    1,352,198x = 4,096,847,220,489
  5. Step 5: Solve for x
    x = 4,096,847,220,489/1,352,198
  6. Step 6: Final answer
    x = 3,029,768.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.