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Finding the Third Proportional to 1,032,999 and 2,231,983

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Solution

The third proportional to 1,032,999 and 2,231,983 is: 4,822,606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,999 : 2,231,983 = 2,231,983 : x
  2. Step 2: Convert to fraction form
    1,032,999/2,231,983 = 2,231,983/x
  3. Step 3: Cross multiply
    1,032,999x = 2,231,983 × 2,231,983
  4. Step 4: Simplify right side
    1,032,999x = 4,981,748,112,289
  5. Step 5: Solve for x
    x = 4,981,748,112,289/1,032,999
  6. Step 6: Final answer
    x = 4,822,606.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.