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Finding the Third Proportional to 792,181 and 1,649,642

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Solution

The third proportional to 792,181 and 1,649,642 is: 3,435,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,181 : 1,649,642 = 1,649,642 : x
  2. Step 2: Convert to fraction form
    792,181/1,649,642 = 1,649,642/x
  3. Step 3: Cross multiply
    792,181x = 1,649,642 × 1,649,642
  4. Step 4: Simplify right side
    792,181x = 2,721,318,728,164
  5. Step 5: Solve for x
    x = 2,721,318,728,164/792,181
  6. Step 6: Final answer
    x = 3,435,223.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.