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Finding the Third Proportional to 385,163 and 858,841

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Solution

The third proportional to 385,163 and 858,841 is: 1,915,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,163 : 858,841 = 858,841 : x
  2. Step 2: Convert to fraction form
    385,163/858,841 = 858,841/x
  3. Step 3: Cross multiply
    385,163x = 858,841 × 858,841
  4. Step 4: Simplify right side
    385,163x = 737,607,863,281
  5. Step 5: Solve for x
    x = 737,607,863,281/385,163
  6. Step 6: Final answer
    x = 1,915,053.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.