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Finding the Third Proportional to 789,530 and 1,199,065

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Solution

The third proportional to 789,530 and 1,199,065 is: 1,821,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,530 : 1,199,065 = 1,199,065 : x
  2. Step 2: Convert to fraction form
    789,530/1,199,065 = 1,199,065/x
  3. Step 3: Cross multiply
    789,530x = 1,199,065 × 1,199,065
  4. Step 4: Simplify right side
    789,530x = 1,437,756,874,225
  5. Step 5: Solve for x
    x = 1,437,756,874,225/789,530
  6. Step 6: Final answer
    x = 1,821,028.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.