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Finding the Third Proportional to 797,859 and 1,193,976

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Solution

The third proportional to 797,859 and 1,193,976 is: 1,786,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,859 : 1,193,976 = 1,193,976 : x
  2. Step 2: Convert to fraction form
    797,859/1,193,976 = 1,193,976/x
  3. Step 3: Cross multiply
    797,859x = 1,193,976 × 1,193,976
  4. Step 4: Simplify right side
    797,859x = 1,425,578,688,576
  5. Step 5: Solve for x
    x = 1,425,578,688,576/797,859
  6. Step 6: Final answer
    x = 1,786,755.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.