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Finding the Third Proportional to 1,523,538 and 2,229,225

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Solution

The third proportional to 1,523,538 and 2,229,225 is: 3,261,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,538 : 2,229,225 = 2,229,225 : x
  2. Step 2: Convert to fraction form
    1,523,538/2,229,225 = 2,229,225/x
  3. Step 3: Cross multiply
    1,523,538x = 2,229,225 × 2,229,225
  4. Step 4: Simplify right side
    1,523,538x = 4,969,444,100,625
  5. Step 5: Solve for x
    x = 4,969,444,100,625/1,523,538
  6. Step 6: Final answer
    x = 3,261,778.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.