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Finding the Third Proportional to 468,003.50 and 1,010,661.25

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Solution

The third proportional to 468,003.50 and 1,010,661.25 is: 2,182,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,003.50 : 1,010,661.25 = 1,010,661.25 : x
  2. Step 2: Convert to fraction form
    468,003.50/1,010,661.25 = 1,010,661.25/x
  3. Step 3: Cross multiply
    468,003.50x = 1,010,661.25 × 1,010,661.25
  4. Step 4: Simplify right side
    468,003.50x = 1,021,436,162,251.56
  5. Step 5: Solve for x
    x = 1,021,436,162,251.56/468,003.50
  6. Step 6: Final answer
    x = 2,182,539.58

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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.