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Finding the Third Proportional to 375,978 and 818,214

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Solution

The third proportional to 375,978 and 818,214 is: 1,780,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,978 : 818,214 = 818,214 : x
  2. Step 2: Convert to fraction form
    375,978/818,214 = 818,214/x
  3. Step 3: Cross multiply
    375,978x = 818,214 × 818,214
  4. Step 4: Simplify right side
    375,978x = 669,474,149,796
  5. Step 5: Solve for x
    x = 669,474,149,796/375,978
  6. Step 6: Final answer
    x = 1,780,620.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.