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Finding the Third Proportional to 768,866 and 1,183,401

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Solution

The third proportional to 768,866 and 1,183,401 is: 1,821,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,866 : 1,183,401 = 1,183,401 : x
  2. Step 2: Convert to fraction form
    768,866/1,183,401 = 1,183,401/x
  3. Step 3: Cross multiply
    768,866x = 1,183,401 × 1,183,401
  4. Step 4: Simplify right side
    768,866x = 1,400,437,926,801
  5. Step 5: Solve for x
    x = 1,400,437,926,801/768,866
  6. Step 6: Final answer
    x = 1,821,433.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.