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Finding the Third Proportional to 515,846 and 797,097

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Solution

The third proportional to 515,846 and 797,097 is: 1,231,692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,846 : 797,097 = 797,097 : x
  2. Step 2: Convert to fraction form
    515,846/797,097 = 797,097/x
  3. Step 3: Cross multiply
    515,846x = 797,097 × 797,097
  4. Step 4: Simplify right side
    515,846x = 635,363,627,409
  5. Step 5: Solve for x
    x = 635,363,627,409/515,846
  6. Step 6: Final answer
    x = 1,231,692.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.