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Finding the Third Proportional to 548,081 and 1,195,762

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Solution

The third proportional to 548,081 and 1,195,762 is: 2,608,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,081 : 1,195,762 = 1,195,762 : x
  2. Step 2: Convert to fraction form
    548,081/1,195,762 = 1,195,762/x
  3. Step 3: Cross multiply
    548,081x = 1,195,762 × 1,195,762
  4. Step 4: Simplify right side
    548,081x = 1,429,846,760,644
  5. Step 5: Solve for x
    x = 1,429,846,760,644/548,081
  6. Step 6: Final answer
    x = 2,608,823.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.