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Finding the Third Proportional to 437,212.69 and 949,105.27

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Solution

The third proportional to 437,212.69 and 949,105.27 is: 2,060,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,212.69 : 949,105.27 = 949,105.27 : x
  2. Step 2: Convert to fraction form
    437,212.69/949,105.27 = 949,105.27/x
  3. Step 3: Cross multiply
    437,212.69x = 949,105.27 × 949,105.27
  4. Step 4: Simplify right side
    437,212.69x = 900,800,805,237.10
  5. Step 5: Solve for x
    x = 900,800,805,237.10/437,212.69
  6. Step 6: Final answer
    x = 2,060,326.31

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