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Finding the Third Proportional to 765,910 and 1,073,285

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Solution

The third proportional to 765,910 and 1,073,285 is: 1,504,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,910 : 1,073,285 = 1,073,285 : x
  2. Step 2: Convert to fraction form
    765,910/1,073,285 = 1,073,285/x
  3. Step 3: Cross multiply
    765,910x = 1,073,285 × 1,073,285
  4. Step 4: Simplify right side
    765,910x = 1,151,940,691,225
  5. Step 5: Solve for x
    x = 1,151,940,691,225/765,910
  6. Step 6: Final answer
    x = 1,504,015.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.