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Finding the Third Proportional to 2,743,744 and 5,908,904

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Solution

The third proportional to 2,743,744 and 5,908,904 is: 12,725,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743,744 : 5,908,904 = 5,908,904 : x
  2. Step 2: Convert to fraction form
    2,743,744/5,908,904 = 5,908,904/x
  3. Step 3: Cross multiply
    2,743,744x = 5,908,904 × 5,908,904
  4. Step 4: Simplify right side
    2,743,744x = 34,915,146,481,216
  5. Step 5: Solve for x
    x = 34,915,146,481,216/2,743,744
  6. Step 6: Final answer
    x = 12,725,365.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.