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Finding the Third Proportional to 4,136,400 and 6,179,571

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Solution

The third proportional to 4,136,400 and 6,179,571 is: 9,231,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136,400 : 6,179,571 = 6,179,571 : x
  2. Step 2: Convert to fraction form
    4,136,400/6,179,571 = 6,179,571/x
  3. Step 3: Cross multiply
    4,136,400x = 6,179,571 × 6,179,571
  4. Step 4: Simplify right side
    4,136,400x = 38,187,097,744,041
  5. Step 5: Solve for x
    x = 38,187,097,744,041/4,136,400
  6. Step 6: Final answer
    x = 9,231,964.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.