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Finding the Third Proportional to 2,589,771 and 4,062,584

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Solution

The third proportional to 2,589,771 and 4,062,584 is: 6,372,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,771 : 4,062,584 = 4,062,584 : x
  2. Step 2: Convert to fraction form
    2,589,771/4,062,584 = 4,062,584/x
  3. Step 3: Cross multiply
    2,589,771x = 4,062,584 × 4,062,584
  4. Step 4: Simplify right side
    2,589,771x = 16,504,588,757,056
  5. Step 5: Solve for x
    x = 16,504,588,757,056/2,589,771
  6. Step 6: Final answer
    x = 6,372,991.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.