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Finding the Third Proportional to 548,300 and 1,222,670

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Solution

The third proportional to 548,300 and 1,222,670 is: 2,726,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,300 : 1,222,670 = 1,222,670 : x
  2. Step 2: Convert to fraction form
    548,300/1,222,670 = 1,222,670/x
  3. Step 3: Cross multiply
    548,300x = 1,222,670 × 1,222,670
  4. Step 4: Simplify right side
    548,300x = 1,494,921,928,900
  5. Step 5: Solve for x
    x = 1,494,921,928,900/548,300
  6. Step 6: Final answer
    x = 2,726,467.13

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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.