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Finding the Third Proportional to 414,831.38 and 892,721.25

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Solution

The third proportional to 414,831.38 and 892,721.25 is: 1,921,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,831.38 : 892,721.25 = 892,721.25 : x
  2. Step 2: Convert to fraction form
    414,831.38/892,721.25 = 892,721.25/x
  3. Step 3: Cross multiply
    414,831.38x = 892,721.25 × 892,721.25
  4. Step 4: Simplify right side
    414,831.38x = 796,951,230,201.56
  5. Step 5: Solve for x
    x = 796,951,230,201.56/414,831.38
  6. Step 6: Final answer
    x = 1,921,145.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.