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Finding the Third Proportional to 938,769.75 and 2,027,212.31

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Solution

The third proportional to 938,769.75 and 2,027,212.31 is: 4,377,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,769.75 : 2,027,212.31 = 2,027,212.31 : x
  2. Step 2: Convert to fraction form
    938,769.75/2,027,212.31 = 2,027,212.31/x
  3. Step 3: Cross multiply
    938,769.75x = 2,027,212.31 × 2,027,212.31
  4. Step 4: Simplify right side
    938,769.75x = 4,109,589,759,951.60
  5. Step 5: Solve for x
    x = 4,109,589,759,951.60/938,769.75
  6. Step 6: Final answer
    x = 4,377,633.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.