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Finding the Third Proportional to 2,589,849 and 5,639,481

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Solution

The third proportional to 2,589,849 and 5,639,481 is: 12,280,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,849 : 5,639,481 = 5,639,481 : x
  2. Step 2: Convert to fraction form
    2,589,849/5,639,481 = 5,639,481/x
  3. Step 3: Cross multiply
    2,589,849x = 5,639,481 × 5,639,481
  4. Step 4: Simplify right side
    2,589,849x = 31,803,745,949,361
  5. Step 5: Solve for x
    x = 31,803,745,949,361/2,589,849
  6. Step 6: Final answer
    x = 12,280,154.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.