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Finding the Third Proportional to 414,670 and 889,982

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Solution

The third proportional to 414,670 and 889,982 is: 1,910,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,670 : 889,982 = 889,982 : x
  2. Step 2: Convert to fraction form
    414,670/889,982 = 889,982/x
  3. Step 3: Cross multiply
    414,670x = 889,982 × 889,982
  4. Step 4: Simplify right side
    414,670x = 792,067,960,324
  5. Step 5: Solve for x
    x = 792,067,960,324/414,670
  6. Step 6: Final answer
    x = 1,910,116.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.