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Finding the Third Proportional to 598,177 and 919,439

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Solution

The third proportional to 598,177 and 919,439 is: 1,413,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,177 : 919,439 = 919,439 : x
  2. Step 2: Convert to fraction form
    598,177/919,439 = 919,439/x
  3. Step 3: Cross multiply
    598,177x = 919,439 × 919,439
  4. Step 4: Simplify right side
    598,177x = 845,368,074,721
  5. Step 5: Solve for x
    x = 845,368,074,721/598,177
  6. Step 6: Final answer
    x = 1,413,240.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.