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Finding the Third Proportional to 422,139.75 and 918,630.75

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Solution

The third proportional to 422,139.75 and 918,630.75 is: 1,999,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,139.75 : 918,630.75 = 918,630.75 : x
  2. Step 2: Convert to fraction form
    422,139.75/918,630.75 = 918,630.75/x
  3. Step 3: Cross multiply
    422,139.75x = 918,630.75 × 918,630.75
  4. Step 4: Simplify right side
    422,139.75x = 843,882,454,845.56
  5. Step 5: Solve for x
    x = 843,882,454,845.56/422,139.75
  6. Step 6: Final answer
    x = 1,999,059.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.