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Finding the Third Proportional to 479,254.13 and 1,025,831.06

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Solution

The third proportional to 479,254.13 and 1,025,831.06 is: 2,195,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,254.13 : 1,025,831.06 = 1,025,831.06 : x
  2. Step 2: Convert to fraction form
    479,254.13/1,025,831.06 = 1,025,831.06/x
  3. Step 3: Cross multiply
    479,254.13x = 1,025,831.06 × 1,025,831.06
  4. Step 4: Simplify right side
    479,254.13x = 1,052,329,368,789.88
  5. Step 5: Solve for x
    x = 1,052,329,368,789.88/479,254.13
  6. Step 6: Final answer
    x = 2,195,764.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.