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Finding the Third Proportional to 635,930 and 1,347,676

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Solution

The third proportional to 635,930 and 1,347,676 is: 2,856,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,930 : 1,347,676 = 1,347,676 : x
  2. Step 2: Convert to fraction form
    635,930/1,347,676 = 1,347,676/x
  3. Step 3: Cross multiply
    635,930x = 1,347,676 × 1,347,676
  4. Step 4: Simplify right side
    635,930x = 1,816,230,600,976
  5. Step 5: Solve for x
    x = 1,816,230,600,976/635,930
  6. Step 6: Final answer
    x = 2,856,022.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.