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Finding the Third Proportional to 639,198 and 1,398,708

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Solution

The third proportional to 639,198 and 1,398,708 is: 3,060,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,198 : 1,398,708 = 1,398,708 : x
  2. Step 2: Convert to fraction form
    639,198/1,398,708 = 1,398,708/x
  3. Step 3: Cross multiply
    639,198x = 1,398,708 × 1,398,708
  4. Step 4: Simplify right side
    639,198x = 1,956,384,069,264
  5. Step 5: Solve for x
    x = 1,956,384,069,264/639,198
  6. Step 6: Final answer
    x = 3,060,685.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.