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Finding the Third Proportional to 548,472 and 1,222,980

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Solution

The third proportional to 548,472 and 1,222,980 is: 2,726,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,472 : 1,222,980 = 1,222,980 : x
  2. Step 2: Convert to fraction form
    548,472/1,222,980 = 1,222,980/x
  3. Step 3: Cross multiply
    548,472x = 1,222,980 × 1,222,980
  4. Step 4: Simplify right side
    548,472x = 1,495,680,080,400
  5. Step 5: Solve for x
    x = 1,495,680,080,400/548,472
  6. Step 6: Final answer
    x = 2,726,994.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.