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Finding the Third Proportional to 387,923 and 936,183

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Solution

The third proportional to 387,923 and 936,183 is: 2,259,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,923 : 936,183 = 936,183 : x
  2. Step 2: Convert to fraction form
    387,923/936,183 = 936,183/x
  3. Step 3: Cross multiply
    387,923x = 936,183 × 936,183
  4. Step 4: Simplify right side
    387,923x = 876,438,609,489
  5. Step 5: Solve for x
    x = 876,438,609,489/387,923
  6. Step 6: Final answer
    x = 2,259,310.76

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.