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Finding the Third Proportional to 947,945.25 and 2,028,750.75

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Solution

The third proportional to 947,945.25 and 2,028,750.75 is: 4,341,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,945.25 : 2,028,750.75 = 2,028,750.75 : x
  2. Step 2: Convert to fraction form
    947,945.25/2,028,750.75 = 2,028,750.75/x
  3. Step 3: Cross multiply
    947,945.25x = 2,028,750.75 × 2,028,750.75
  4. Step 4: Simplify right side
    947,945.25x = 4,115,829,605,625.56
  5. Step 5: Solve for x
    x = 4,115,829,605,625.56/947,945.25
  6. Step 6: Final answer
    x = 4,341,843.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.