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Finding the Third Proportional to 2,021,862 and 4,414,217

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Solution

The third proportional to 2,021,862 and 4,414,217 is: 9,637,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,862 : 4,414,217 = 4,414,217 : x
  2. Step 2: Convert to fraction form
    2,021,862/4,414,217 = 4,414,217/x
  3. Step 3: Cross multiply
    2,021,862x = 4,414,217 × 4,414,217
  4. Step 4: Simplify right side
    2,021,862x = 19,485,311,723,089
  5. Step 5: Solve for x
    x = 19,485,311,723,089/2,021,862
  6. Step 6: Final answer
    x = 9,637,310.42

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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.