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Finding the Third Proportional to 543,752 and 1,198,096

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Solution

The third proportional to 543,752 and 1,198,096 is: 2,639,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,752 : 1,198,096 = 1,198,096 : x
  2. Step 2: Convert to fraction form
    543,752/1,198,096 = 1,198,096/x
  3. Step 3: Cross multiply
    543,752x = 1,198,096 × 1,198,096
  4. Step 4: Simplify right side
    543,752x = 1,435,434,025,216
  5. Step 5: Solve for x
    x = 1,435,434,025,216/543,752
  6. Step 6: Final answer
    x = 2,639,868.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.