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Finding the Third Proportional to 764,246 and 1,619,523

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Solution

The third proportional to 764,246 and 1,619,523 is: 3,431,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,246 : 1,619,523 = 1,619,523 : x
  2. Step 2: Convert to fraction form
    764,246/1,619,523 = 1,619,523/x
  3. Step 3: Cross multiply
    764,246x = 1,619,523 × 1,619,523
  4. Step 4: Simplify right side
    764,246x = 2,622,854,747,529
  5. Step 5: Solve for x
    x = 2,622,854,747,529/764,246
  6. Step 6: Final answer
    x = 3,431,950.90

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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.