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Finding the Third Proportional to 523,403 and 1,150,027

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Solution

The third proportional to 523,403 and 1,150,027 is: 2,526,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,403 : 1,150,027 = 1,150,027 : x
  2. Step 2: Convert to fraction form
    523,403/1,150,027 = 1,150,027/x
  3. Step 3: Cross multiply
    523,403x = 1,150,027 × 1,150,027
  4. Step 4: Simplify right side
    523,403x = 1,322,562,100,729
  5. Step 5: Solve for x
    x = 1,322,562,100,729/523,403
  6. Step 6: Final answer
    x = 2,526,852.35

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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.