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Finding the Third Proportional to 1,957,006 and 3,969,032

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Solution

The third proportional to 1,957,006 and 3,969,032 is: 8,049,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957,006 : 3,969,032 = 3,969,032 : x
  2. Step 2: Convert to fraction form
    1,957,006/3,969,032 = 3,969,032/x
  3. Step 3: Cross multiply
    1,957,006x = 3,969,032 × 3,969,032
  4. Step 4: Simplify right side
    1,957,006x = 15,753,215,017,024
  5. Step 5: Solve for x
    x = 15,753,215,017,024/1,957,006
  6. Step 6: Final answer
    x = 8,049,650.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.