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Finding the Third Proportional to 1,449,296 and 3,148,322

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Solution

The third proportional to 1,449,296 and 3,148,322 is: 6,839,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,296 : 3,148,322 = 3,148,322 : x
  2. Step 2: Convert to fraction form
    1,449,296/3,148,322 = 3,148,322/x
  3. Step 3: Cross multiply
    1,449,296x = 3,148,322 × 3,148,322
  4. Step 4: Simplify right side
    1,449,296x = 9,911,931,415,684
  5. Step 5: Solve for x
    x = 9,911,931,415,684/1,449,296
  6. Step 6: Final answer
    x = 6,839,135.29

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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.