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Finding the Third Proportional to 1,025,978 and 2,227,190

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Solution

The third proportional to 1,025,978 and 2,227,190 is: 4,834,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,978 : 2,227,190 = 2,227,190 : x
  2. Step 2: Convert to fraction form
    1,025,978/2,227,190 = 2,227,190/x
  3. Step 3: Cross multiply
    1,025,978x = 2,227,190 × 2,227,190
  4. Step 4: Simplify right side
    1,025,978x = 4,960,375,296,100
  5. Step 5: Solve for x
    x = 4,960,375,296,100/1,025,978
  6. Step 6: Final answer
    x = 4,834,777.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.