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Finding the Third Proportional to 403,601 and 885,923

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Solution

The third proportional to 403,601 and 885,923 is: 1,944,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,601 : 885,923 = 885,923 : x
  2. Step 2: Convert to fraction form
    403,601/885,923 = 885,923/x
  3. Step 3: Cross multiply
    403,601x = 885,923 × 885,923
  4. Step 4: Simplify right side
    403,601x = 784,859,561,929
  5. Step 5: Solve for x
    x = 784,859,561,929/403,601
  6. Step 6: Final answer
    x = 1,944,642.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.