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Finding the Third Proportional to 1,199,338 and 2,597,966

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Solution

The third proportional to 1,199,338 and 2,597,966 is: 5,627,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,338 : 2,597,966 = 2,597,966 : x
  2. Step 2: Convert to fraction form
    1,199,338/2,597,966 = 2,597,966/x
  3. Step 3: Cross multiply
    1,199,338x = 2,597,966 × 2,597,966
  4. Step 4: Simplify right side
    1,199,338x = 6,749,427,337,156
  5. Step 5: Solve for x
    x = 6,749,427,337,156/1,199,338
  6. Step 6: Final answer
    x = 5,627,627.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.