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Finding the Third Proportional to 746,193 and 1,598,847

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Solution

The third proportional to 746,193 and 1,598,847 is: 3,425,805.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,193 : 1,598,847 = 1,598,847 : x
  2. Step 2: Convert to fraction form
    746,193/1,598,847 = 1,598,847/x
  3. Step 3: Cross multiply
    746,193x = 1,598,847 × 1,598,847
  4. Step 4: Simplify right side
    746,193x = 2,556,311,729,409
  5. Step 5: Solve for x
    x = 2,556,311,729,409/746,193
  6. Step 6: Final answer
    x = 3,425,805.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.