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Finding the Third Proportional to 466,555 and 952,794

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Solution

The third proportional to 466,555 and 952,794 is: 1,945,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,555 : 952,794 = 952,794 : x
  2. Step 2: Convert to fraction form
    466,555/952,794 = 952,794/x
  3. Step 3: Cross multiply
    466,555x = 952,794 × 952,794
  4. Step 4: Simplify right side
    466,555x = 907,816,406,436
  5. Step 5: Solve for x
    x = 907,816,406,436/466,555
  6. Step 6: Final answer
    x = 1,945,786.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.