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Finding the Third Proportional to 764,234 and 1,619,502

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Solution

The third proportional to 764,234 and 1,619,502 is: 3,431,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,234 : 1,619,502 = 1,619,502 : x
  2. Step 2: Convert to fraction form
    764,234/1,619,502 = 1,619,502/x
  3. Step 3: Cross multiply
    764,234x = 1,619,502 × 1,619,502
  4. Step 4: Simplify right side
    764,234x = 2,622,786,728,004
  5. Step 5: Solve for x
    x = 2,622,786,728,004/764,234
  6. Step 6: Final answer
    x = 3,431,915.78

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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.