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Finding the Third Proportional to 189,847 and 417,589

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Solution

The third proportional to 189,847 and 417,589 is: 918,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,847 : 417,589 = 417,589 : x
  2. Step 2: Convert to fraction form
    189,847/417,589 = 417,589/x
  3. Step 3: Cross multiply
    189,847x = 417,589 × 417,589
  4. Step 4: Simplify right side
    189,847x = 174,380,572,921
  5. Step 5: Solve for x
    x = 174,380,572,921/189,847
  6. Step 6: Final answer
    x = 918,532.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.