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Finding the Third Proportional to 764,266 and 1,619,564

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Solution

The third proportional to 764,266 and 1,619,564 is: 3,432,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,266 : 1,619,564 = 1,619,564 : x
  2. Step 2: Convert to fraction form
    764,266/1,619,564 = 1,619,564/x
  3. Step 3: Cross multiply
    764,266x = 1,619,564 × 1,619,564
  4. Step 4: Simplify right side
    764,266x = 2,622,987,550,096
  5. Step 5: Solve for x
    x = 2,622,987,550,096/764,266
  6. Step 6: Final answer
    x = 3,432,034.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.