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Finding the Third Proportional to 899,997 and 1,901,163

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Solution

The third proportional to 899,997 and 1,901,163 is: 4,016,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,997 : 1,901,163 = 1,901,163 : x
  2. Step 2: Convert to fraction form
    899,997/1,901,163 = 1,901,163/x
  3. Step 3: Cross multiply
    899,997x = 1,901,163 × 1,901,163
  4. Step 4: Simplify right side
    899,997x = 3,614,420,752,569
  5. Step 5: Solve for x
    x = 3,614,420,752,569/899,997
  6. Step 6: Final answer
    x = 4,016,036.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.