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Finding the Third Proportional to 641,016 and 1,367,824

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Solution

The third proportional to 641,016 and 1,367,824 is: 2,918,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,016 : 1,367,824 = 1,367,824 : x
  2. Step 2: Convert to fraction form
    641,016/1,367,824 = 1,367,824/x
  3. Step 3: Cross multiply
    641,016x = 1,367,824 × 1,367,824
  4. Step 4: Simplify right side
    641,016x = 1,870,942,494,976
  5. Step 5: Solve for x
    x = 1,870,942,494,976/641,016
  6. Step 6: Final answer
    x = 2,918,714.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.