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Finding the Third Proportional to 1,682,494 and 3,669,497

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Solution

The third proportional to 1,682,494 and 3,669,497 is: 8,003,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,494 : 3,669,497 = 3,669,497 : x
  2. Step 2: Convert to fraction form
    1,682,494/3,669,497 = 3,669,497/x
  3. Step 3: Cross multiply
    1,682,494x = 3,669,497 × 3,669,497
  4. Step 4: Simplify right side
    1,682,494x = 13,465,208,233,009
  5. Step 5: Solve for x
    x = 13,465,208,233,009/1,682,494
  6. Step 6: Final answer
    x = 8,003,124.07

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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.