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Finding the Third Proportional to 422,121.94 and 923,065.88

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Solution

The third proportional to 422,121.94 and 923,065.88 is: 2,018,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,121.94 : 923,065.88 = 923,065.88 : x
  2. Step 2: Convert to fraction form
    422,121.94/923,065.88 = 923,065.88/x
  3. Step 3: Cross multiply
    422,121.94x = 923,065.88 × 923,065.88
  4. Step 4: Simplify right side
    422,121.94x = 852,050,609,589.52
  5. Step 5: Solve for x
    x = 852,050,609,589.52/422,121.94
  6. Step 6: Final answer
    x = 2,018,494.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.