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Finding the Third Proportional to 1,682,214 and 2,418,057

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Solution

The third proportional to 1,682,214 and 2,418,057 is: 3,475,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,214 : 2,418,057 = 2,418,057 : x
  2. Step 2: Convert to fraction form
    1,682,214/2,418,057 = 2,418,057/x
  3. Step 3: Cross multiply
    1,682,214x = 2,418,057 × 2,418,057
  4. Step 4: Simplify right side
    1,682,214x = 5,846,999,655,249
  5. Step 5: Solve for x
    x = 5,846,999,655,249/1,682,214
  6. Step 6: Final answer
    x = 3,475,776.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.