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Finding the Third Proportional to 428,160 and 941,067

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Solution

The third proportional to 428,160 and 941,067 is: 2,068,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,160 : 941,067 = 941,067 : x
  2. Step 2: Convert to fraction form
    428,160/941,067 = 941,067/x
  3. Step 3: Cross multiply
    428,160x = 941,067 × 941,067
  4. Step 4: Simplify right side
    428,160x = 885,607,098,489
  5. Step 5: Solve for x
    x = 885,607,098,489/428,160
  6. Step 6: Final answer
    x = 2,068,402.23

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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.