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Finding the Third Proportional to 789,401 and 1,661,325

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Solution

The third proportional to 789,401 and 1,661,325 is: 3,496,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,401 : 1,661,325 = 1,661,325 : x
  2. Step 2: Convert to fraction form
    789,401/1,661,325 = 1,661,325/x
  3. Step 3: Cross multiply
    789,401x = 1,661,325 × 1,661,325
  4. Step 4: Simplify right side
    789,401x = 2,760,000,755,625
  5. Step 5: Solve for x
    x = 2,760,000,755,625/789,401
  6. Step 6: Final answer
    x = 3,496,322.85

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.