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Finding the Third Proportional to 414,177 and 905,897

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Solution

The third proportional to 414,177 and 905,897 is: 1,981,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,177 : 905,897 = 905,897 : x
  2. Step 2: Convert to fraction form
    414,177/905,897 = 905,897/x
  3. Step 3: Cross multiply
    414,177x = 905,897 × 905,897
  4. Step 4: Simplify right side
    414,177x = 820,649,374,609
  5. Step 5: Solve for x
    x = 820,649,374,609/414,177
  6. Step 6: Final answer
    x = 1,981,397.75

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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.