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Finding the Third Proportional to 386,872 and 848,479

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Solution

The third proportional to 386,872 and 848,479 is: 1,860,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,872 : 848,479 = 848,479 : x
  2. Step 2: Convert to fraction form
    386,872/848,479 = 848,479/x
  3. Step 3: Cross multiply
    386,872x = 848,479 × 848,479
  4. Step 4: Simplify right side
    386,872x = 719,916,613,441
  5. Step 5: Solve for x
    x = 719,916,613,441/386,872
  6. Step 6: Final answer
    x = 1,860,865.13

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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.