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Finding the Third Proportional to 467,860 and 952,672

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Solution

The third proportional to 467,860 and 952,672 is: 1,939,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,860 : 952,672 = 952,672 : x
  2. Step 2: Convert to fraction form
    467,860/952,672 = 952,672/x
  3. Step 3: Cross multiply
    467,860x = 952,672 × 952,672
  4. Step 4: Simplify right side
    467,860x = 907,583,939,584
  5. Step 5: Solve for x
    x = 907,583,939,584/467,860
  6. Step 6: Final answer
    x = 1,939,862.22

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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.