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Finding the Third Proportional to 548,901.75 and 1,189,434

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Solution

The third proportional to 548,901.75 and 1,189,434 is: 2,577,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,901.75 : 1,189,434 = 1,189,434 : x
  2. Step 2: Convert to fraction form
    548,901.75/1,189,434 = 1,189,434/x
  3. Step 3: Cross multiply
    548,901.75x = 1,189,434 × 1,189,434
  4. Step 4: Simplify right side
    548,901.75x = 1,414,753,240,356
  5. Step 5: Solve for x
    x = 1,414,753,240,356/548,901.75
  6. Step 6: Final answer
    x = 2,577,425.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.