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Finding the Third Proportional to 1,380,626 and 2,966,180

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Solution

The third proportional to 1,380,626 and 2,966,180 is: 6,372,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,626 : 2,966,180 = 2,966,180 : x
  2. Step 2: Convert to fraction form
    1,380,626/2,966,180 = 2,966,180/x
  3. Step 3: Cross multiply
    1,380,626x = 2,966,180 × 2,966,180
  4. Step 4: Simplify right side
    1,380,626x = 8,798,223,792,400
  5. Step 5: Solve for x
    x = 8,798,223,792,400/1,380,626
  6. Step 6: Final answer
    x = 6,372,633.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.