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Finding the Third Proportional to 387,919.13 and 936,172.69

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Solution

The third proportional to 387,919.13 and 936,172.69 is: 2,259,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,919.13 : 936,172.69 = 936,172.69 : x
  2. Step 2: Convert to fraction form
    387,919.13/936,172.69 = 936,172.69/x
  3. Step 3: Cross multiply
    387,919.13x = 936,172.69 × 936,172.69
  4. Step 4: Simplify right side
    387,919.13x = 876,419,300,820.97
  5. Step 5: Solve for x
    x = 876,419,300,820.97/387,919.13
  6. Step 6: Final answer
    x = 2,259,283.56

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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.