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Finding the Third Proportional to 2,412,064 and 3,275,824

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Solution

The third proportional to 2,412,064 and 3,275,824 is: 4,448,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412,064 : 3,275,824 = 3,275,824 : x
  2. Step 2: Convert to fraction form
    2,412,064/3,275,824 = 3,275,824/x
  3. Step 3: Cross multiply
    2,412,064x = 3,275,824 × 3,275,824
  4. Step 4: Simplify right side
    2,412,064x = 10,731,022,878,976
  5. Step 5: Solve for x
    x = 10,731,022,878,976/2,412,064
  6. Step 6: Final answer
    x = 4,448,896.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.