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Finding the Third Proportional to 666,538 and 952,485

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Solution

The third proportional to 666,538 and 952,485 is: 1,361,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,538 : 952,485 = 952,485 : x
  2. Step 2: Convert to fraction form
    666,538/952,485 = 952,485/x
  3. Step 3: Cross multiply
    666,538x = 952,485 × 952,485
  4. Step 4: Simplify right side
    666,538x = 907,227,675,225
  5. Step 5: Solve for x
    x = 907,227,675,225/666,538
  6. Step 6: Final answer
    x = 1,361,104.21

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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.