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Finding the Third Proportional to 548,720 and 1,197,986

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Solution

The third proportional to 548,720 and 1,197,986 is: 2,615,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,720 : 1,197,986 = 1,197,986 : x
  2. Step 2: Convert to fraction form
    548,720/1,197,986 = 1,197,986/x
  3. Step 3: Cross multiply
    548,720x = 1,197,986 × 1,197,986
  4. Step 4: Simplify right side
    548,720x = 1,435,170,456,196
  5. Step 5: Solve for x
    x = 1,435,170,456,196/548,720
  6. Step 6: Final answer
    x = 2,615,487.78

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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.