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Finding the Third Proportional to 691,656 and 1,058,474

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Solution

The third proportional to 691,656 and 1,058,474 is: 1,619,832.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,656 : 1,058,474 = 1,058,474 : x
  2. Step 2: Convert to fraction form
    691,656/1,058,474 = 1,058,474/x
  3. Step 3: Cross multiply
    691,656x = 1,058,474 × 1,058,474
  4. Step 4: Simplify right side
    691,656x = 1,120,367,208,676
  5. Step 5: Solve for x
    x = 1,120,367,208,676/691,656
  6. Step 6: Final answer
    x = 1,619,832.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.