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Finding the Third Proportional to 938,783.25 and 2,027,227.50

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Solution

The third proportional to 938,783.25 and 2,027,227.50 is: 4,377,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,783.25 : 2,027,227.50 = 2,027,227.50 : x
  2. Step 2: Convert to fraction form
    938,783.25/2,027,227.50 = 2,027,227.50/x
  3. Step 3: Cross multiply
    938,783.25x = 2,027,227.50 × 2,027,227.50
  4. Step 4: Simplify right side
    938,783.25x = 4,109,651,336,756.25
  5. Step 5: Solve for x
    x = 4,109,651,336,756.25/938,783.25
  6. Step 6: Final answer
    x = 4,377,635.98

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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.