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Finding the Third Proportional to 511,122 and 801,843

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Solution

The third proportional to 511,122 and 801,843 is: 1,257,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,122 : 801,843 = 801,843 : x
  2. Step 2: Convert to fraction form
    511,122/801,843 = 801,843/x
  3. Step 3: Cross multiply
    511,122x = 801,843 × 801,843
  4. Step 4: Simplify right side
    511,122x = 642,952,196,649
  5. Step 5: Solve for x
    x = 642,952,196,649/511,122
  6. Step 6: Final answer
    x = 1,257,923.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.