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Finding the Third Proportional to 2,728,824 and 5,790,128

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Solution

The third proportional to 2,728,824 and 5,790,128 is: 12,285,725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728,824 : 5,790,128 = 5,790,128 : x
  2. Step 2: Convert to fraction form
    2,728,824/5,790,128 = 5,790,128/x
  3. Step 3: Cross multiply
    2,728,824x = 5,790,128 × 5,790,128
  4. Step 4: Simplify right side
    2,728,824x = 33,525,582,256,384
  5. Step 5: Solve for x
    x = 33,525,582,256,384/2,728,824
  6. Step 6: Final answer
    x = 12,285,725.37

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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.