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Finding the Third Proportional to 517,839 and 794,805

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Solution

The third proportional to 517,839 and 794,805 is: 1,219,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,839 : 794,805 = 794,805 : x
  2. Step 2: Convert to fraction form
    517,839/794,805 = 794,805/x
  3. Step 3: Cross multiply
    517,839x = 794,805 × 794,805
  4. Step 4: Simplify right side
    517,839x = 631,714,988,025
  5. Step 5: Solve for x
    x = 631,714,988,025/517,839
  6. Step 6: Final answer
    x = 1,219,906.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.