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Finding the Third Proportional to 2,096,100 and 4,491,272

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Solution

The third proportional to 2,096,100 and 4,491,272 is: 9,623,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,100 : 4,491,272 = 4,491,272 : x
  2. Step 2: Convert to fraction form
    2,096,100/4,491,272 = 4,491,272/x
  3. Step 3: Cross multiply
    2,096,100x = 4,491,272 × 4,491,272
  4. Step 4: Simplify right side
    2,096,100x = 20,171,524,177,984
  5. Step 5: Solve for x
    x = 20,171,524,177,984/2,096,100
  6. Step 6: Final answer
    x = 9,623,359.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.