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Finding the Third Proportional to 548,820 and 1,202,580

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Solution

The third proportional to 548,820 and 1,202,580 is: 2,635,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,820 : 1,202,580 = 1,202,580 : x
  2. Step 2: Convert to fraction form
    548,820/1,202,580 = 1,202,580/x
  3. Step 3: Cross multiply
    548,820x = 1,202,580 × 1,202,580
  4. Step 4: Simplify right side
    548,820x = 1,446,198,656,400
  5. Step 5: Solve for x
    x = 1,446,198,656,400/548,820
  6. Step 6: Final answer
    x = 2,635,105.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.