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Finding the Third Proportional to 801,961 and 1,670,269

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Solution

The third proportional to 801,961 and 1,670,269 is: 3,478,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,961 : 1,670,269 = 1,670,269 : x
  2. Step 2: Convert to fraction form
    801,961/1,670,269 = 1,670,269/x
  3. Step 3: Cross multiply
    801,961x = 1,670,269 × 1,670,269
  4. Step 4: Simplify right side
    801,961x = 2,789,798,532,361
  5. Step 5: Solve for x
    x = 2,789,798,532,361/801,961
  6. Step 6: Final answer
    x = 3,478,720.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.