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Finding the Third Proportional to 666,523 and 952,456

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Solution

The third proportional to 666,523 and 952,456 is: 1,361,051.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,523 : 952,456 = 952,456 : x
  2. Step 2: Convert to fraction form
    666,523/952,456 = 952,456/x
  3. Step 3: Cross multiply
    666,523x = 952,456 × 952,456
  4. Step 4: Simplify right side
    666,523x = 907,172,431,936
  5. Step 5: Solve for x
    x = 907,172,431,936/666,523
  6. Step 6: Final answer
    x = 1,361,051.95

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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.