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Finding the Third Proportional to 422,898.75 and 911,819.25

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Solution

The third proportional to 422,898.75 and 911,819.25 is: 1,965,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,898.75 : 911,819.25 = 911,819.25 : x
  2. Step 2: Convert to fraction form
    422,898.75/911,819.25 = 911,819.25/x
  3. Step 3: Cross multiply
    422,898.75x = 911,819.25 × 911,819.25
  4. Step 4: Simplify right side
    422,898.75x = 831,414,344,670.56
  5. Step 5: Solve for x
    x = 831,414,344,670.56/422,898.75
  6. Step 6: Final answer
    x = 1,965,989.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.