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Finding the Third Proportional to 598,498 and 919,875

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Solution

The third proportional to 598,498 and 919,875 is: 1,413,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,498 : 919,875 = 919,875 : x
  2. Step 2: Convert to fraction form
    598,498/919,875 = 919,875/x
  3. Step 3: Cross multiply
    598,498x = 919,875 × 919,875
  4. Step 4: Simplify right side
    598,498x = 846,170,015,625
  5. Step 5: Solve for x
    x = 846,170,015,625/598,498
  6. Step 6: Final answer
    x = 1,413,822.63

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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.