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Finding the Third Proportional to 738,049 and 1,101,375

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Solution

The third proportional to 738,049 and 1,101,375 is: 1,643,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,049 : 1,101,375 = 1,101,375 : x
  2. Step 2: Convert to fraction form
    738,049/1,101,375 = 1,101,375/x
  3. Step 3: Cross multiply
    738,049x = 1,101,375 × 1,101,375
  4. Step 4: Simplify right side
    738,049x = 1,213,026,890,625
  5. Step 5: Solve for x
    x = 1,213,026,890,625/738,049
  6. Step 6: Final answer
    x = 1,643,558.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.