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Finding the Third Proportional to 764,893.50 and 1,680,771

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Solution

The third proportional to 764,893.50 and 1,680,771 is: 3,693,313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,893.50 : 1,680,771 = 1,680,771 : x
  2. Step 2: Convert to fraction form
    764,893.50/1,680,771 = 1,680,771/x
  3. Step 3: Cross multiply
    764,893.50x = 1,680,771 × 1,680,771
  4. Step 4: Simplify right side
    764,893.50x = 2,824,991,154,441
  5. Step 5: Solve for x
    x = 2,824,991,154,441/764,893.50
  6. Step 6: Final answer
    x = 3,693,313.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.