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Finding the Third Proportional to 428,141.25 and 941,031

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Solution

The third proportional to 428,141.25 and 941,031 is: 2,068,334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,141.25 : 941,031 = 941,031 : x
  2. Step 2: Convert to fraction form
    428,141.25/941,031 = 941,031/x
  3. Step 3: Cross multiply
    428,141.25x = 941,031 × 941,031
  4. Step 4: Simplify right side
    428,141.25x = 885,539,342,961
  5. Step 5: Solve for x
    x = 885,539,342,961/428,141.25
  6. Step 6: Final answer
    x = 2,068,334.56

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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.