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Finding the Third Proportional to 1,781,180 and 3,624,568

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Solution

The third proportional to 1,781,180 and 3,624,568 is: 7,375,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,180 : 3,624,568 = 3,624,568 : x
  2. Step 2: Convert to fraction form
    1,781,180/3,624,568 = 3,624,568/x
  3. Step 3: Cross multiply
    1,781,180x = 3,624,568 × 3,624,568
  4. Step 4: Simplify right side
    1,781,180x = 13,137,493,186,624
  5. Step 5: Solve for x
    x = 13,137,493,186,624/1,781,180
  6. Step 6: Final answer
    x = 7,375,724.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.