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Finding the Third Proportional to 414,022 and 843,267

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Solution

The third proportional to 414,022 and 843,267 is: 1,717,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,022 : 843,267 = 843,267 : x
  2. Step 2: Convert to fraction form
    414,022/843,267 = 843,267/x
  3. Step 3: Cross multiply
    414,022x = 843,267 × 843,267
  4. Step 4: Simplify right side
    414,022x = 711,099,233,289
  5. Step 5: Solve for x
    x = 711,099,233,289/414,022
  6. Step 6: Final answer
    x = 1,717,539.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.