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Finding the Third Proportional to 964,163.25 and 1,279,903.78

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Solution

The third proportional to 964,163.25 and 1,279,903.78 is: 1,699,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,163.25 : 1,279,903.78 = 1,279,903.78 : x
  2. Step 2: Convert to fraction form
    964,163.25/1,279,903.78 = 1,279,903.78/x
  3. Step 3: Cross multiply
    964,163.25x = 1,279,903.78 × 1,279,903.78
  4. Step 4: Simplify right side
    964,163.25x = 1,638,153,689,258.05
  5. Step 5: Solve for x
    x = 1,638,153,689,258.05/964,163.25
  6. Step 6: Final answer
    x = 1,699,041.83

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.