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Finding the Third Proportional to 1,268,766 and 2,856,915

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Solution

The third proportional to 1,268,766 and 2,856,915 is: 6,432,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,766 : 2,856,915 = 2,856,915 : x
  2. Step 2: Convert to fraction form
    1,268,766/2,856,915 = 2,856,915/x
  3. Step 3: Cross multiply
    1,268,766x = 2,856,915 × 2,856,915
  4. Step 4: Simplify right side
    1,268,766x = 8,161,963,317,225
  5. Step 5: Solve for x
    x = 8,161,963,317,225/1,268,766
  6. Step 6: Final answer
    x = 6,432,993.41

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.