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Finding the Third Proportional to 392,722 and 848,180

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Solution

The third proportional to 392,722 and 848,180 is: 1,831,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,722 : 848,180 = 848,180 : x
  2. Step 2: Convert to fraction form
    392,722/848,180 = 848,180/x
  3. Step 3: Cross multiply
    392,722x = 848,180 × 848,180
  4. Step 4: Simplify right side
    392,722x = 719,409,312,400
  5. Step 5: Solve for x
    x = 719,409,312,400/392,722
  6. Step 6: Final answer
    x = 1,831,853.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.