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Finding the Third Proportional to 1,682,497 and 3,669,503

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Solution

The third proportional to 1,682,497 and 3,669,503 is: 8,003,135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,497 : 3,669,503 = 3,669,503 : x
  2. Step 2: Convert to fraction form
    1,682,497/3,669,503 = 3,669,503/x
  3. Step 3: Cross multiply
    1,682,497x = 3,669,503 × 3,669,503
  4. Step 4: Simplify right side
    1,682,497x = 13,465,252,267,009
  5. Step 5: Solve for x
    x = 13,465,252,267,009/1,682,497
  6. Step 6: Final answer
    x = 8,003,135.97

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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.