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Finding the Third Proportional to 428,532 and 941,126

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Solution

The third proportional to 428,532 and 941,126 is: 2,066,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,532 : 941,126 = 941,126 : x
  2. Step 2: Convert to fraction form
    428,532/941,126 = 941,126/x
  3. Step 3: Cross multiply
    428,532x = 941,126 × 941,126
  4. Step 4: Simplify right side
    428,532x = 885,718,147,876
  5. Step 5: Solve for x
    x = 885,718,147,876/428,532
  6. Step 6: Final answer
    x = 2,066,865.83

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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.