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Finding the Third Proportional to 2,361,296 and 3,542,456

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Solution

The third proportional to 2,361,296 and 3,542,456 is: 5,314,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,296 : 3,542,456 = 3,542,456 : x
  2. Step 2: Convert to fraction form
    2,361,296/3,542,456 = 3,542,456/x
  3. Step 3: Cross multiply
    2,361,296x = 3,542,456 × 3,542,456
  4. Step 4: Simplify right side
    2,361,296x = 12,548,994,511,936
  5. Step 5: Solve for x
    x = 12,548,994,511,936/2,361,296
  6. Step 6: Final answer
    x = 5,314,452.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.