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Finding the Third Proportional to 414,537.75 and 906,404.06

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Solution

The third proportional to 414,537.75 and 906,404.06 is: 1,981,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,537.75 : 906,404.06 = 906,404.06 : x
  2. Step 2: Convert to fraction form
    414,537.75/906,404.06 = 906,404.06/x
  3. Step 3: Cross multiply
    414,537.75x = 906,404.06 × 906,404.06
  4. Step 4: Simplify right side
    414,537.75x = 821,568,324,516.50
  5. Step 5: Solve for x
    x = 821,568,324,516.50/414,537.75
  6. Step 6: Final answer
    x = 1,981,890.25

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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.