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Finding the Third Proportional to 588,608 and 1,270,474

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Solution

The third proportional to 588,608 and 1,270,474 is: 2,742,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,608 : 1,270,474 = 1,270,474 : x
  2. Step 2: Convert to fraction form
    588,608/1,270,474 = 1,270,474/x
  3. Step 3: Cross multiply
    588,608x = 1,270,474 × 1,270,474
  4. Step 4: Simplify right side
    588,608x = 1,614,104,184,676
  5. Step 5: Solve for x
    x = 1,614,104,184,676/588,608
  6. Step 6: Final answer
    x = 2,742,239.63

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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.