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Finding the Third Proportional to 725,183 and 1,590,334

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Solution

The third proportional to 725,183 and 1,590,334 is: 3,487,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,183 : 1,590,334 = 1,590,334 : x
  2. Step 2: Convert to fraction form
    725,183/1,590,334 = 1,590,334/x
  3. Step 3: Cross multiply
    725,183x = 1,590,334 × 1,590,334
  4. Step 4: Simplify right side
    725,183x = 2,529,162,231,556
  5. Step 5: Solve for x
    x = 2,529,162,231,556/725,183
  6. Step 6: Final answer
    x = 3,487,619.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.