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Finding the Third Proportional to 386,646 and 848,940

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Solution

The third proportional to 386,646 and 848,940 is: 1,863,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,646 : 848,940 = 848,940 : x
  2. Step 2: Convert to fraction form
    386,646/848,940 = 848,940/x
  3. Step 3: Cross multiply
    386,646x = 848,940 × 848,940
  4. Step 4: Simplify right side
    386,646x = 720,699,123,600
  5. Step 5: Solve for x
    x = 720,699,123,600/386,646
  6. Step 6: Final answer
    x = 1,863,976.67

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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.