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Finding the Third Proportional to 1,222,066 and 1,848,824

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Solution

The third proportional to 1,222,066 and 1,848,824 is: 2,797,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,066 : 1,848,824 = 1,848,824 : x
  2. Step 2: Convert to fraction form
    1,222,066/1,848,824 = 1,848,824/x
  3. Step 3: Cross multiply
    1,222,066x = 1,848,824 × 1,848,824
  4. Step 4: Simplify right side
    1,222,066x = 3,418,150,182,976
  5. Step 5: Solve for x
    x = 3,418,150,182,976/1,222,066
  6. Step 6: Final answer
    x = 2,797,025.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.