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Finding the Third Proportional to 598,185 and 919,449

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Solution

The third proportional to 598,185 and 919,449 is: 1,413,252.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,185 : 919,449 = 919,449 : x
  2. Step 2: Convert to fraction form
    598,185/919,449 = 919,449/x
  3. Step 3: Cross multiply
    598,185x = 919,449 × 919,449
  4. Step 4: Simplify right side
    598,185x = 845,386,463,601
  5. Step 5: Solve for x
    x = 845,386,463,601/598,185
  6. Step 6: Final answer
    x = 1,413,252.53

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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.