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Finding the Third Proportional to 414,117 and 854,694

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Solution

The third proportional to 414,117 and 854,694 is: 1,763,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,117 : 854,694 = 854,694 : x
  2. Step 2: Convert to fraction form
    414,117/854,694 = 854,694/x
  3. Step 3: Cross multiply
    414,117x = 854,694 × 854,694
  4. Step 4: Simplify right side
    414,117x = 730,501,833,636
  5. Step 5: Solve for x
    x = 730,501,833,636/414,117
  6. Step 6: Final answer
    x = 1,763,998.66

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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.