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Finding the Third Proportional to 635,079 and 1,369,866

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Solution

The third proportional to 635,079 and 1,369,866 is: 2,954,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,079 : 1,369,866 = 1,369,866 : x
  2. Step 2: Convert to fraction form
    635,079/1,369,866 = 1,369,866/x
  3. Step 3: Cross multiply
    635,079x = 1,369,866 × 1,369,866
  4. Step 4: Simplify right side
    635,079x = 1,876,532,857,956
  5. Step 5: Solve for x
    x = 1,876,532,857,956/635,079
  6. Step 6: Final answer
    x = 2,954,802.25

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Why These Related Problems?

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