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Finding the Third Proportional to 666,912 and 952,992

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Solution

The third proportional to 666,912 and 952,992 is: 1,361,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,912 : 952,992 = 952,992 : x
  2. Step 2: Convert to fraction form
    666,912/952,992 = 952,992/x
  3. Step 3: Cross multiply
    666,912x = 952,992 × 952,992
  4. Step 4: Simplify right side
    666,912x = 908,193,752,064
  5. Step 5: Solve for x
    x = 908,193,752,064/666,912
  6. Step 6: Final answer
    x = 1,361,789.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.