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Finding the Third Proportional to 386,648 and 848,944

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Solution

The third proportional to 386,648 and 848,944 is: 1,863,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,648 : 848,944 = 848,944 : x
  2. Step 2: Convert to fraction form
    386,648/848,944 = 848,944/x
  3. Step 3: Cross multiply
    386,648x = 848,944 × 848,944
  4. Step 4: Simplify right side
    386,648x = 720,705,915,136
  5. Step 5: Solve for x
    x = 720,705,915,136/386,648
  6. Step 6: Final answer
    x = 1,863,984.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.