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Finding the Third Proportional to 682,542 and 1,468,112

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Solution

The third proportional to 682,542 and 1,468,112 is: 3,157,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,542 : 1,468,112 = 1,468,112 : x
  2. Step 2: Convert to fraction form
    682,542/1,468,112 = 1,468,112/x
  3. Step 3: Cross multiply
    682,542x = 1,468,112 × 1,468,112
  4. Step 4: Simplify right side
    682,542x = 2,155,352,844,544
  5. Step 5: Solve for x
    x = 2,155,352,844,544/682,542
  6. Step 6: Final answer
    x = 3,157,831.82

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