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Finding the Third Proportional to 677,694 and 903,469

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Solution

The third proportional to 677,694 and 903,469 is: 1,204,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,694 : 903,469 = 903,469 : x
  2. Step 2: Convert to fraction form
    677,694/903,469 = 903,469/x
  3. Step 3: Cross multiply
    677,694x = 903,469 × 903,469
  4. Step 4: Simplify right side
    677,694x = 816,256,233,961
  5. Step 5: Solve for x
    x = 816,256,233,961/677,694
  6. Step 6: Final answer
    x = 1,204,461.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.