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Finding the Third Proportional to 1,442,380 and 2,242,194

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Solution

The third proportional to 1,442,380 and 2,242,194 is: 3,485,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,380 : 2,242,194 = 2,242,194 : x
  2. Step 2: Convert to fraction form
    1,442,380/2,242,194 = 2,242,194/x
  3. Step 3: Cross multiply
    1,442,380x = 2,242,194 × 2,242,194
  4. Step 4: Simplify right side
    1,442,380x = 5,027,433,933,636
  5. Step 5: Solve for x
    x = 5,027,433,933,636/1,442,380
  6. Step 6: Final answer
    x = 3,485,512.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.