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Finding the Third Proportional to 1,162,728 and 2,466,180

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Solution

The third proportional to 1,162,728 and 2,466,180 is: 5,230,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,728 : 2,466,180 = 2,466,180 : x
  2. Step 2: Convert to fraction form
    1,162,728/2,466,180 = 2,466,180/x
  3. Step 3: Cross multiply
    1,162,728x = 2,466,180 × 2,466,180
  4. Step 4: Simplify right side
    1,162,728x = 6,082,043,792,400
  5. Step 5: Solve for x
    x = 6,082,043,792,400/1,162,728
  6. Step 6: Final answer
    x = 5,230,839.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.