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Finding the Third Proportional to 738,494 and 1,738,697

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Solution

The third proportional to 738,494 and 1,738,697 is: 4,093,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,494 : 1,738,697 = 1,738,697 : x
  2. Step 2: Convert to fraction form
    738,494/1,738,697 = 1,738,697/x
  3. Step 3: Cross multiply
    738,494x = 1,738,697 × 1,738,697
  4. Step 4: Simplify right side
    738,494x = 3,023,067,257,809
  5. Step 5: Solve for x
    x = 3,023,067,257,809/738,494
  6. Step 6: Final answer
    x = 4,093,556.97

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.