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Finding the Third Proportional to 598,082 and 891,939

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Solution

The third proportional to 598,082 and 891,939 is: 1,330,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,082 : 891,939 = 891,939 : x
  2. Step 2: Convert to fraction form
    598,082/891,939 = 891,939/x
  3. Step 3: Cross multiply
    598,082x = 891,939 × 891,939
  4. Step 4: Simplify right side
    598,082x = 795,555,179,721
  5. Step 5: Solve for x
    x = 795,555,179,721/598,082
  6. Step 6: Final answer
    x = 1,330,177.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.