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Finding the Third Proportional to 589,059 and 1,270,782

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Solution

The third proportional to 589,059 and 1,270,782 is: 2,741,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,059 : 1,270,782 = 1,270,782 : x
  2. Step 2: Convert to fraction form
    589,059/1,270,782 = 1,270,782/x
  3. Step 3: Cross multiply
    589,059x = 1,270,782 × 1,270,782
  4. Step 4: Simplify right side
    589,059x = 1,614,886,891,524
  5. Step 5: Solve for x
    x = 1,614,886,891,524/589,059
  6. Step 6: Final answer
    x = 2,741,468.84

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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.