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Finding the Third Proportional to 785,770 and 1,715,474

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Solution

The third proportional to 785,770 and 1,715,474 is: 3,745,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,770 : 1,715,474 = 1,715,474 : x
  2. Step 2: Convert to fraction form
    785,770/1,715,474 = 1,715,474/x
  3. Step 3: Cross multiply
    785,770x = 1,715,474 × 1,715,474
  4. Step 4: Simplify right side
    785,770x = 2,942,851,044,676
  5. Step 5: Solve for x
    x = 2,942,851,044,676/785,770
  6. Step 6: Final answer
    x = 3,745,181.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.