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Finding the Third Proportional to 589,809 and 1,279,482

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Solution

The third proportional to 589,809 and 1,279,482 is: 2,775,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,809 : 1,279,482 = 1,279,482 : x
  2. Step 2: Convert to fraction form
    589,809/1,279,482 = 1,279,482/x
  3. Step 3: Cross multiply
    589,809x = 1,279,482 × 1,279,482
  4. Step 4: Simplify right side
    589,809x = 1,637,074,188,324
  5. Step 5: Solve for x
    x = 1,637,074,188,324/589,809
  6. Step 6: Final answer
    x = 2,775,600.56

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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.