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Finding the Third Proportional to 1,022,132 and 2,150,188

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Solution

The third proportional to 1,022,132 and 2,150,188 is: 4,523,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,132 : 2,150,188 = 2,150,188 : x
  2. Step 2: Convert to fraction form
    1,022,132/2,150,188 = 2,150,188/x
  3. Step 3: Cross multiply
    1,022,132x = 2,150,188 × 2,150,188
  4. Step 4: Simplify right side
    1,022,132x = 4,623,308,435,344
  5. Step 5: Solve for x
    x = 4,623,308,435,344/1,022,132
  6. Step 6: Final answer
    x = 4,523,200.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.