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Finding the Third Proportional to 763,198 and 1,186,812

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Solution

The third proportional to 763,198 and 1,186,812 is: 1,845,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,198 : 1,186,812 = 1,186,812 : x
  2. Step 2: Convert to fraction form
    763,198/1,186,812 = 1,186,812/x
  3. Step 3: Cross multiply
    763,198x = 1,186,812 × 1,186,812
  4. Step 4: Simplify right side
    763,198x = 1,408,522,723,344
  5. Step 5: Solve for x
    x = 1,408,522,723,344/763,198
  6. Step 6: Final answer
    x = 1,845,553.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.