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Finding the Third Proportional to 2,589,765 and 4,062,576

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Solution

The third proportional to 2,589,765 and 4,062,576 is: 6,372,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,765 : 4,062,576 = 4,062,576 : x
  2. Step 2: Convert to fraction form
    2,589,765/4,062,576 = 4,062,576/x
  3. Step 3: Cross multiply
    2,589,765x = 4,062,576 × 4,062,576
  4. Step 4: Simplify right side
    2,589,765x = 16,504,523,755,776
  5. Step 5: Solve for x
    x = 16,504,523,755,776/2,589,765
  6. Step 6: Final answer
    x = 6,372,981.24

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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.