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Finding the Third Proportional to 785,787 and 1,691,961

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Solution

The third proportional to 785,787 and 1,691,961 is: 3,643,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,787 : 1,691,961 = 1,691,961 : x
  2. Step 2: Convert to fraction form
    785,787/1,691,961 = 1,691,961/x
  3. Step 3: Cross multiply
    785,787x = 1,691,961 × 1,691,961
  4. Step 4: Simplify right side
    785,787x = 2,862,732,025,521
  5. Step 5: Solve for x
    x = 2,862,732,025,521/785,787
  6. Step 6: Final answer
    x = 3,643,139.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.