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Finding the Third Proportional to 1,477,945 and 3,183,782

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Solution

The third proportional to 1,477,945 and 3,183,782 is: 6,858,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,945 : 3,183,782 = 3,183,782 : x
  2. Step 2: Convert to fraction form
    1,477,945/3,183,782 = 3,183,782/x
  3. Step 3: Cross multiply
    1,477,945x = 3,183,782 × 3,183,782
  4. Step 4: Simplify right side
    1,477,945x = 10,136,467,823,524
  5. Step 5: Solve for x
    x = 10,136,467,823,524/1,477,945
  6. Step 6: Final answer
    x = 6,858,487.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.