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Finding the Third Proportional to 452,188.22 and 941,589.56

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Solution

The third proportional to 452,188.22 and 941,589.56 is: 1,960,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,188.22 : 941,589.56 = 941,589.56 : x
  2. Step 2: Convert to fraction form
    452,188.22/941,589.56 = 941,589.56/x
  3. Step 3: Cross multiply
    452,188.22x = 941,589.56 × 941,589.56
  4. Step 4: Simplify right side
    452,188.22x = 886,590,904,208.94
  5. Step 5: Solve for x
    x = 886,590,904,208.94/452,188.22
  6. Step 6: Final answer
    x = 1,960,667.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.