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Finding the Third Proportional to 428,133.73 and 941,013.70

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Solution

The third proportional to 428,133.73 and 941,013.70 is: 2,068,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,133.73 : 941,013.70 = 941,013.70 : x
  2. Step 2: Convert to fraction form
    428,133.73/941,013.70 = 941,013.70/x
  3. Step 3: Cross multiply
    428,133.73x = 941,013.70 × 941,013.70
  4. Step 4: Simplify right side
    428,133.73x = 885,506,789,469.03
  5. Step 5: Solve for x
    x = 885,506,789,469.03/428,133.73
  6. Step 6: Final answer
    x = 2,068,294.87

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Why These Related Problems?

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