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Finding the Third Proportional to 548,393 and 1,166,626

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Solution

The third proportional to 548,393 and 1,166,626 is: 2,481,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,393 : 1,166,626 = 1,166,626 : x
  2. Step 2: Convert to fraction form
    548,393/1,166,626 = 1,166,626/x
  3. Step 3: Cross multiply
    548,393x = 1,166,626 × 1,166,626
  4. Step 4: Simplify right side
    548,393x = 1,361,016,223,876
  5. Step 5: Solve for x
    x = 1,361,016,223,876/548,393
  6. Step 6: Final answer
    x = 2,481,826.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.