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Finding the Third Proportional to 776,124 and 1,159,398

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Solution

The third proportional to 776,124 and 1,159,398 is: 1,731,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,124 : 1,159,398 = 1,159,398 : x
  2. Step 2: Convert to fraction form
    776,124/1,159,398 = 1,159,398/x
  3. Step 3: Cross multiply
    776,124x = 1,159,398 × 1,159,398
  4. Step 4: Simplify right side
    776,124x = 1,344,203,722,404
  5. Step 5: Solve for x
    x = 1,344,203,722,404/776,124
  6. Step 6: Final answer
    x = 1,731,944.54

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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.