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Finding the Third Proportional to 677,997 and 992,736

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Solution

The third proportional to 677,997 and 992,736 is: 1,453,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,997 : 992,736 = 992,736 : x
  2. Step 2: Convert to fraction form
    677,997/992,736 = 992,736/x
  3. Step 3: Cross multiply
    677,997x = 992,736 × 992,736
  4. Step 4: Simplify right side
    677,997x = 985,524,765,696
  5. Step 5: Solve for x
    x = 985,524,765,696/677,997
  6. Step 6: Final answer
    x = 1,453,582.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.