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Finding the Third Proportional to 666,805 and 952,849

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Solution

The third proportional to 666,805 and 952,849 is: 1,361,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,805 : 952,849 = 952,849 : x
  2. Step 2: Convert to fraction form
    666,805/952,849 = 952,849/x
  3. Step 3: Cross multiply
    666,805x = 952,849 × 952,849
  4. Step 4: Simplify right side
    666,805x = 907,921,216,801
  5. Step 5: Solve for x
    x = 907,921,216,801/666,805
  6. Step 6: Final answer
    x = 1,361,599.29

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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.