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Finding the Third Proportional to 2,122,380 and 3,291,188

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Solution

The third proportional to 2,122,380 and 3,291,188 is: 5,103,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122,380 : 3,291,188 = 3,291,188 : x
  2. Step 2: Convert to fraction form
    2,122,380/3,291,188 = 3,291,188/x
  3. Step 3: Cross multiply
    2,122,380x = 3,291,188 × 3,291,188
  4. Step 4: Simplify right side
    2,122,380x = 10,831,918,451,344
  5. Step 5: Solve for x
    x = 10,831,918,451,344/2,122,380
  6. Step 6: Final answer
    x = 5,103,665.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.