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Finding the Third Proportional to 746,170 and 1,598,802

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Solution

The third proportional to 746,170 and 1,598,802 is: 3,425,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,170 : 1,598,802 = 1,598,802 : x
  2. Step 2: Convert to fraction form
    746,170/1,598,802 = 1,598,802/x
  3. Step 3: Cross multiply
    746,170x = 1,598,802 × 1,598,802
  4. Step 4: Simplify right side
    746,170x = 2,556,167,835,204
  5. Step 5: Solve for x
    x = 2,556,167,835,204/746,170
  6. Step 6: Final answer
    x = 3,425,717.78

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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.