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Finding the Third Proportional to 467,858 and 952,668

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Solution

The third proportional to 467,858 and 952,668 is: 1,939,854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,858 : 952,668 = 952,668 : x
  2. Step 2: Convert to fraction form
    467,858/952,668 = 952,668/x
  3. Step 3: Cross multiply
    467,858x = 952,668 × 952,668
  4. Step 4: Simplify right side
    467,858x = 907,576,318,224
  5. Step 5: Solve for x
    x = 907,576,318,224/467,858
  6. Step 6: Final answer
    x = 1,939,854.23

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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.