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Finding the Third Proportional to 496,002 and 1,102,212

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Solution

The third proportional to 496,002 and 1,102,212 is: 2,449,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,002 : 1,102,212 = 1,102,212 : x
  2. Step 2: Convert to fraction form
    496,002/1,102,212 = 1,102,212/x
  3. Step 3: Cross multiply
    496,002x = 1,102,212 × 1,102,212
  4. Step 4: Simplify right side
    496,002x = 1,214,871,292,944
  5. Step 5: Solve for x
    x = 1,214,871,292,944/496,002
  6. Step 6: Final answer
    x = 2,449,327.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.