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Finding the Third Proportional to 384,770 and 848,376

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Solution

The third proportional to 384,770 and 848,376 is: 1,870,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,770 : 848,376 = 848,376 : x
  2. Step 2: Convert to fraction form
    384,770/848,376 = 848,376/x
  3. Step 3: Cross multiply
    384,770x = 848,376 × 848,376
  4. Step 4: Simplify right side
    384,770x = 719,741,837,376
  5. Step 5: Solve for x
    x = 719,741,837,376/384,770
  6. Step 6: Final answer
    x = 1,870,576.81

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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.