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Finding the Third Proportional to 2,021,872 and 4,414,238

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Solution

The third proportional to 2,021,872 and 4,414,238 is: 9,637,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,872 : 4,414,238 = 4,414,238 : x
  2. Step 2: Convert to fraction form
    2,021,872/4,414,238 = 4,414,238/x
  3. Step 3: Cross multiply
    2,021,872x = 4,414,238 × 4,414,238
  4. Step 4: Simplify right side
    2,021,872x = 19,485,497,120,644
  5. Step 5: Solve for x
    x = 19,485,497,120,644/2,021,872
  6. Step 6: Final answer
    x = 9,637,354.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.