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Finding the Third Proportional to 1,378,858 and 2,140,463

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Solution

The third proportional to 1,378,858 and 2,140,463 is: 3,322,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,858 : 2,140,463 = 2,140,463 : x
  2. Step 2: Convert to fraction form
    1,378,858/2,140,463 = 2,140,463/x
  3. Step 3: Cross multiply
    1,378,858x = 2,140,463 × 2,140,463
  4. Step 4: Simplify right side
    1,378,858x = 4,581,581,854,369
  5. Step 5: Solve for x
    x = 4,581,581,854,369/1,378,858
  6. Step 6: Final answer
    x = 3,322,736.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.