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Finding the Third Proportional to 1,270,848 and 2,629,824

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Solution

The third proportional to 1,270,848 and 2,629,824 is: 5,442,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,848 : 2,629,824 = 2,629,824 : x
  2. Step 2: Convert to fraction form
    1,270,848/2,629,824 = 2,629,824/x
  3. Step 3: Cross multiply
    1,270,848x = 2,629,824 × 2,629,824
  4. Step 4: Simplify right side
    1,270,848x = 6,915,974,270,976
  5. Step 5: Solve for x
    x = 6,915,974,270,976/1,270,848
  6. Step 6: Final answer
    x = 5,442,015.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.