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Finding the Third Proportional to 414,169 and 905,883

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Solution

The third proportional to 414,169 and 905,883 is: 1,981,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,169 : 905,883 = 905,883 : x
  2. Step 2: Convert to fraction form
    414,169/905,883 = 905,883/x
  3. Step 3: Cross multiply
    414,169x = 905,883 × 905,883
  4. Step 4: Simplify right side
    414,169x = 820,624,009,689
  5. Step 5: Solve for x
    x = 820,624,009,689/414,169
  6. Step 6: Final answer
    x = 1,981,374.78

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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.