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Finding the Third Proportional to 2,127,436 and 3,183,629

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Solution

The third proportional to 2,127,436 and 3,183,629 is: 4,764,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127,436 : 3,183,629 = 3,183,629 : x
  2. Step 2: Convert to fraction form
    2,127,436/3,183,629 = 3,183,629/x
  3. Step 3: Cross multiply
    2,127,436x = 3,183,629 × 3,183,629
  4. Step 4: Simplify right side
    2,127,436x = 10,135,493,609,641
  5. Step 5: Solve for x
    x = 10,135,493,609,641/2,127,436
  6. Step 6: Final answer
    x = 4,764,182.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.