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Finding the Third Proportional to 940,214.25 and 2,030,049

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Solution

The third proportional to 940,214.25 and 2,030,049 is: 4,383,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,214.25 : 2,030,049 = 2,030,049 : x
  2. Step 2: Convert to fraction form
    940,214.25/2,030,049 = 2,030,049/x
  3. Step 3: Cross multiply
    940,214.25x = 2,030,049 × 2,030,049
  4. Step 4: Simplify right side
    940,214.25x = 4,121,098,942,401
  5. Step 5: Solve for x
    x = 4,121,098,942,401/940,214.25
  6. Step 6: Final answer
    x = 4,383,148.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.