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Finding the Third Proportional to 2,270,571.75 and 3,784,131

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Solution

The third proportional to 2,270,571.75 and 3,784,131 is: 6,306,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,571.75 : 3,784,131 = 3,784,131 : x
  2. Step 2: Convert to fraction form
    2,270,571.75/3,784,131 = 3,784,131/x
  3. Step 3: Cross multiply
    2,270,571.75x = 3,784,131 × 3,784,131
  4. Step 4: Simplify right side
    2,270,571.75x = 14,319,647,425,161
  5. Step 5: Solve for x
    x = 14,319,647,425,161/2,270,571.75
  6. Step 6: Final answer
    x = 6,306,626.26

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.