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Finding the Third Proportional to 1,782,144 and 2,757,648

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Solution

The third proportional to 1,782,144 and 2,757,648 is: 4,267,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,144 : 2,757,648 = 2,757,648 : x
  2. Step 2: Convert to fraction form
    1,782,144/2,757,648 = 2,757,648/x
  3. Step 3: Cross multiply
    1,782,144x = 2,757,648 × 2,757,648
  4. Step 4: Simplify right side
    1,782,144x = 7,604,622,491,904
  5. Step 5: Solve for x
    x = 7,604,622,491,904/1,782,144
  6. Step 6: Final answer
    x = 4,267,120.10

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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.