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Finding the Third Proportional to 2,644,974 and 3,957,201

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Solution

The third proportional to 2,644,974 and 3,957,201 is: 5,920,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644,974 : 3,957,201 = 3,957,201 : x
  2. Step 2: Convert to fraction form
    2,644,974/3,957,201 = 3,957,201/x
  3. Step 3: Cross multiply
    2,644,974x = 3,957,201 × 3,957,201
  4. Step 4: Simplify right side
    2,644,974x = 15,659,439,754,401
  5. Step 5: Solve for x
    x = 15,659,439,754,401/2,644,974
  6. Step 6: Final answer
    x = 5,920,451.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.