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Finding the Third Proportional to 2,567,380 and 3,589,170

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Solution

The third proportional to 2,567,380 and 3,589,170 is: 5,017,621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567,380 : 3,589,170 = 3,589,170 : x
  2. Step 2: Convert to fraction form
    2,567,380/3,589,170 = 3,589,170/x
  3. Step 3: Cross multiply
    2,567,380x = 3,589,170 × 3,589,170
  4. Step 4: Simplify right side
    2,567,380x = 12,882,141,288,900
  5. Step 5: Solve for x
    x = 12,882,141,288,900/2,567,380
  6. Step 6: Final answer
    x = 5,017,621.58

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.