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Finding the Third Proportional to 1,065,296 and 1,498,414

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Solution

The third proportional to 1,065,296 and 1,498,414 is: 2,107,625.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,296 : 1,498,414 = 1,498,414 : x
  2. Step 2: Convert to fraction form
    1,065,296/1,498,414 = 1,498,414/x
  3. Step 3: Cross multiply
    1,065,296x = 1,498,414 × 1,498,414
  4. Step 4: Simplify right side
    1,065,296x = 2,245,244,515,396
  5. Step 5: Solve for x
    x = 2,245,244,515,396/1,065,296
  6. Step 6: Final answer
    x = 2,107,625.03

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.