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Finding the Third Proportional to 414,186 and 854,799

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Solution

The third proportional to 414,186 and 854,799 is: 1,764,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,186 : 854,799 = 854,799 : x
  2. Step 2: Convert to fraction form
    414,186/854,799 = 854,799/x
  3. Step 3: Cross multiply
    414,186x = 854,799 × 854,799
  4. Step 4: Simplify right side
    414,186x = 730,681,330,401
  5. Step 5: Solve for x
    x = 730,681,330,401/414,186
  6. Step 6: Final answer
    x = 1,764,138.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.