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Finding the Third Proportional to 1,284,084 and 2,734,056

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Solution

The third proportional to 1,284,084 and 2,734,056 is: 5,821,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,084 : 2,734,056 = 2,734,056 : x
  2. Step 2: Convert to fraction form
    1,284,084/2,734,056 = 2,734,056/x
  3. Step 3: Cross multiply
    1,284,084x = 2,734,056 × 2,734,056
  4. Step 4: Simplify right side
    1,284,084x = 7,475,062,211,136
  5. Step 5: Solve for x
    x = 7,475,062,211,136/1,284,084
  6. Step 6: Final answer
    x = 5,821,318.71

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.