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Finding the Third Proportional to 767,198 and 1,135,923

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Solution

The third proportional to 767,198 and 1,135,923 is: 1,681,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,198 : 1,135,923 = 1,135,923 : x
  2. Step 2: Convert to fraction form
    767,198/1,135,923 = 1,135,923/x
  3. Step 3: Cross multiply
    767,198x = 1,135,923 × 1,135,923
  4. Step 4: Simplify right side
    767,198x = 1,290,321,061,929
  5. Step 5: Solve for x
    x = 1,290,321,061,929/767,198
  6. Step 6: Final answer
    x = 1,681,861.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.