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Finding the Third Proportional to 593,200 and 1,279,714

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Solution

The third proportional to 593,200 and 1,279,714 is: 2,760,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,200 : 1,279,714 = 1,279,714 : x
  2. Step 2: Convert to fraction form
    593,200/1,279,714 = 1,279,714/x
  3. Step 3: Cross multiply
    593,200x = 1,279,714 × 1,279,714
  4. Step 4: Simplify right side
    593,200x = 1,637,667,921,796
  5. Step 5: Solve for x
    x = 1,637,667,921,796/593,200
  6. Step 6: Final answer
    x = 2,760,734.86

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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.