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Finding the Third Proportional to 797,296 and 1,231,196

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Solution

The third proportional to 797,296 and 1,231,196 is: 1,901,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,296 : 1,231,196 = 1,231,196 : x
  2. Step 2: Convert to fraction form
    797,296/1,231,196 = 1,231,196/x
  3. Step 3: Cross multiply
    797,296x = 1,231,196 × 1,231,196
  4. Step 4: Simplify right side
    797,296x = 1,515,843,590,416
  5. Step 5: Solve for x
    x = 1,515,843,590,416/797,296
  6. Step 6: Final answer
    x = 1,901,230.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.