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Finding the Third Proportional to 681,966 and 1,435,819.50

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Solution

The third proportional to 681,966 and 1,435,819.50 is: 3,022,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,966 : 1,435,819.50 = 1,435,819.50 : x
  2. Step 2: Convert to fraction form
    681,966/1,435,819.50 = 1,435,819.50/x
  3. Step 3: Cross multiply
    681,966x = 1,435,819.50 × 1,435,819.50
  4. Step 4: Simplify right side
    681,966x = 2,061,577,636,580.25
  5. Step 5: Solve for x
    x = 2,061,577,636,580.25/681,966
  6. Step 6: Final answer
    x = 3,022,991.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.