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Finding the Third Proportional to 2,325,824 and 5,149,056

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Solution

The third proportional to 2,325,824 and 5,149,056 is: 11,399,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325,824 : 5,149,056 = 5,149,056 : x
  2. Step 2: Convert to fraction form
    2,325,824/5,149,056 = 5,149,056/x
  3. Step 3: Cross multiply
    2,325,824x = 5,149,056 × 5,149,056
  4. Step 4: Simplify right side
    2,325,824x = 26,512,777,691,136
  5. Step 5: Solve for x
    x = 26,512,777,691,136/2,325,824
  6. Step 6: Final answer
    x = 11,399,305.23

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.