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Finding the Third Proportional to 775,530 and 1,164,116

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Solution

The third proportional to 775,530 and 1,164,116 is: 1,747,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,530 : 1,164,116 = 1,164,116 : x
  2. Step 2: Convert to fraction form
    775,530/1,164,116 = 1,164,116/x
  3. Step 3: Cross multiply
    775,530x = 1,164,116 × 1,164,116
  4. Step 4: Simplify right side
    775,530x = 1,355,166,061,456
  5. Step 5: Solve for x
    x = 1,355,166,061,456/775,530
  6. Step 6: Final answer
    x = 1,747,406.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.