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Finding the Third Proportional to 958,743 and 2,080,458

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Solution

The third proportional to 958,743 and 2,080,458 is: 4,514,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    958,743 : 2,080,458 = 2,080,458 : x
  2. Step 2: Convert to fraction form
    958,743/2,080,458 = 2,080,458/x
  3. Step 3: Cross multiply
    958,743x = 2,080,458 × 2,080,458
  4. Step 4: Simplify right side
    958,743x = 4,328,305,489,764
  5. Step 5: Solve for x
    x = 4,328,305,489,764/958,743
  6. Step 6: Final answer
    x = 4,514,562.81

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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.