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Finding the Third Proportional to 588,093 and 1,275,762

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Solution

The third proportional to 588,093 and 1,275,762 is: 2,767,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,093 : 1,275,762 = 1,275,762 : x
  2. Step 2: Convert to fraction form
    588,093/1,275,762 = 1,275,762/x
  3. Step 3: Cross multiply
    588,093x = 1,275,762 × 1,275,762
  4. Step 4: Simplify right side
    588,093x = 1,627,568,680,644
  5. Step 5: Solve for x
    x = 1,627,568,680,644/588,093
  6. Step 6: Final answer
    x = 2,767,536.22

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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.