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Finding the Third Proportional to 593,193 and 1,279,698

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Solution

The third proportional to 593,193 and 1,279,698 is: 2,760,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,193 : 1,279,698 = 1,279,698 : x
  2. Step 2: Convert to fraction form
    593,193/1,279,698 = 1,279,698/x
  3. Step 3: Cross multiply
    593,193x = 1,279,698 × 1,279,698
  4. Step 4: Simplify right side
    593,193x = 1,637,626,971,204
  5. Step 5: Solve for x
    x = 1,637,626,971,204/593,193
  6. Step 6: Final answer
    x = 2,760,698.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.