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Finding the Third Proportional to 2,589,182 and 3,883,771

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Solution

The third proportional to 2,589,182 and 3,883,771 is: 5,825,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,182 : 3,883,771 = 3,883,771 : x
  2. Step 2: Convert to fraction form
    2,589,182/3,883,771 = 3,883,771/x
  3. Step 3: Cross multiply
    2,589,182x = 3,883,771 × 3,883,771
  4. Step 4: Simplify right side
    2,589,182x = 15,083,677,180,441
  5. Step 5: Solve for x
    x = 15,083,677,180,441/2,589,182
  6. Step 6: Final answer
    x = 5,825,653.50

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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.