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Finding the Third Proportional to 2,678,542 and 4,041,965

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Solution

The third proportional to 2,678,542 and 4,041,965 is: 6,099,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678,542 : 4,041,965 = 4,041,965 : x
  2. Step 2: Convert to fraction form
    2,678,542/4,041,965 = 4,041,965/x
  3. Step 3: Cross multiply
    2,678,542x = 4,041,965 × 4,041,965
  4. Step 4: Simplify right side
    2,678,542x = 16,337,481,061,225
  5. Step 5: Solve for x
    x = 16,337,481,061,225/2,678,542
  6. Step 6: Final answer
    x = 6,099,393.27

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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.