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Finding the Third Proportional to 388,166 and 848,744

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Solution

The third proportional to 388,166 and 848,744 is: 1,855,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,166 : 848,744 = 848,744 : x
  2. Step 2: Convert to fraction form
    388,166/848,744 = 848,744/x
  3. Step 3: Cross multiply
    388,166x = 848,744 × 848,744
  4. Step 4: Simplify right side
    388,166x = 720,366,377,536
  5. Step 5: Solve for x
    x = 720,366,377,536/388,166
  6. Step 6: Final answer
    x = 1,855,820.39

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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.