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Finding the Third Proportional to 911,771 and 1,984,084

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Solution

The third proportional to 911,771 and 1,984,084 is: 4,317,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,771 : 1,984,084 = 1,984,084 : x
  2. Step 2: Convert to fraction form
    911,771/1,984,084 = 1,984,084/x
  3. Step 3: Cross multiply
    911,771x = 1,984,084 × 1,984,084
  4. Step 4: Simplify right side
    911,771x = 3,936,589,319,056
  5. Step 5: Solve for x
    x = 3,936,589,319,056/911,771
  6. Step 6: Final answer
    x = 4,317,519.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.