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Finding the Third Proportional to 414,194 and 905,920

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Solution

The third proportional to 414,194 and 905,920 is: 1,981,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,194 : 905,920 = 905,920 : x
  2. Step 2: Convert to fraction form
    414,194/905,920 = 905,920/x
  3. Step 3: Cross multiply
    414,194x = 905,920 × 905,920
  4. Step 4: Simplify right side
    414,194x = 820,691,046,400
  5. Step 5: Solve for x
    x = 820,691,046,400/414,194
  6. Step 6: Final answer
    x = 1,981,417.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.