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Finding the Third Proportional to 414,184 and 905,912

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Solution

The third proportional to 414,184 and 905,912 is: 1,981,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,184 : 905,912 = 905,912 : x
  2. Step 2: Convert to fraction form
    414,184/905,912 = 905,912/x
  3. Step 3: Cross multiply
    414,184x = 905,912 × 905,912
  4. Step 4: Simplify right side
    414,184x = 820,676,551,744
  5. Step 5: Solve for x
    x = 820,676,551,744/414,184
  6. Step 6: Final answer
    x = 1,981,429.88

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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.