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Finding the Third Proportional to 768,648 and 1,221,401

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Solution

The third proportional to 768,648 and 1,221,401 is: 1,940,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,648 : 1,221,401 = 1,221,401 : x
  2. Step 2: Convert to fraction form
    768,648/1,221,401 = 1,221,401/x
  3. Step 3: Cross multiply
    768,648x = 1,221,401 × 1,221,401
  4. Step 4: Simplify right side
    768,648x = 1,491,820,402,801
  5. Step 5: Solve for x
    x = 1,491,820,402,801/768,648
  6. Step 6: Final answer
    x = 1,940,836.90

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.