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Finding the Third Proportional to 422,911.13 and 929,940.75

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Solution

The third proportional to 422,911.13 and 929,940.75 is: 2,044,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,911.13 : 929,940.75 = 929,940.75 : x
  2. Step 2: Convert to fraction form
    422,911.13/929,940.75 = 929,940.75/x
  3. Step 3: Cross multiply
    422,911.13x = 929,940.75 × 929,940.75
  4. Step 4: Simplify right side
    422,911.13x = 864,789,798,510.56
  5. Step 5: Solve for x
    x = 864,789,798,510.56/422,911.13
  6. Step 6: Final answer
    x = 2,044,849.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.