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Finding the Third Proportional to 3,762,434 and 5,677,571

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Solution

The third proportional to 3,762,434 and 5,677,571 is: 8,567,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762,434 : 5,677,571 = 5,677,571 : x
  2. Step 2: Convert to fraction form
    3,762,434/5,677,571 = 5,677,571/x
  3. Step 3: Cross multiply
    3,762,434x = 5,677,571 × 5,677,571
  4. Step 4: Simplify right side
    3,762,434x = 32,234,812,460,041
  5. Step 5: Solve for x
    x = 32,234,812,460,041/3,762,434
  6. Step 6: Final answer
    x = 8,567,542.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.