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Finding the Third Proportional to 764,343 and 1,561,851

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Solution

The third proportional to 764,343 and 1,561,851 is: 3,191,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,343 : 1,561,851 = 1,561,851 : x
  2. Step 2: Convert to fraction form
    764,343/1,561,851 = 1,561,851/x
  3. Step 3: Cross multiply
    764,343x = 1,561,851 × 1,561,851
  4. Step 4: Simplify right side
    764,343x = 2,439,378,546,201
  5. Step 5: Solve for x
    x = 2,439,378,546,201/764,343
  6. Step 6: Final answer
    x = 3,191,471.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.