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Finding the Third Proportional to 777,728 and 1,199,757

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Solution

The third proportional to 777,728 and 1,199,757 is: 1,850,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,728 : 1,199,757 = 1,199,757 : x
  2. Step 2: Convert to fraction form
    777,728/1,199,757 = 1,199,757/x
  3. Step 3: Cross multiply
    777,728x = 1,199,757 × 1,199,757
  4. Step 4: Simplify right side
    777,728x = 1,439,416,859,049
  5. Step 5: Solve for x
    x = 1,439,416,859,049/777,728
  6. Step 6: Final answer
    x = 1,850,797.27

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Why These Related Problems?

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