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Finding the Third Proportional to 598,744 and 1,297,144

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Solution

The third proportional to 598,744 and 1,297,144 is: 2,810,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,744 : 1,297,144 = 1,297,144 : x
  2. Step 2: Convert to fraction form
    598,744/1,297,144 = 1,297,144/x
  3. Step 3: Cross multiply
    598,744x = 1,297,144 × 1,297,144
  4. Step 4: Simplify right side
    598,744x = 1,682,582,556,736
  5. Step 5: Solve for x
    x = 1,682,582,556,736/598,744
  6. Step 6: Final answer
    x = 2,810,186.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.