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Finding the Third Proportional to 1,032,297.75 and 2,274,546.38

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Solution

The third proportional to 1,032,297.75 and 2,274,546.38 is: 5,011,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,297.75 : 2,274,546.38 = 2,274,546.38 : x
  2. Step 2: Convert to fraction form
    1,032,297.75/2,274,546.38 = 2,274,546.38/x
  3. Step 3: Cross multiply
    1,032,297.75x = 2,274,546.38 × 2,274,546.38
  4. Step 4: Simplify right side
    1,032,297.75x = 5,173,561,212,025.64
  5. Step 5: Solve for x
    x = 5,173,561,212,025.64/1,032,297.75
  6. Step 6: Final answer
    x = 5,011,694.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.