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Finding the Third Proportional to 386,876 and 848,487

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Solution

The third proportional to 386,876 and 848,487 is: 1,860,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,876 : 848,487 = 848,487 : x
  2. Step 2: Convert to fraction form
    386,876/848,487 = 848,487/x
  3. Step 3: Cross multiply
    386,876x = 848,487 × 848,487
  4. Step 4: Simplify right side
    386,876x = 719,930,189,169
  5. Step 5: Solve for x
    x = 719,930,189,169/386,876
  6. Step 6: Final answer
    x = 1,860,880.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.