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Finding the Third Proportional to 711,198 and 1,540,980

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Solution

The third proportional to 711,198 and 1,540,980 is: 3,338,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,198 : 1,540,980 = 1,540,980 : x
  2. Step 2: Convert to fraction form
    711,198/1,540,980 = 1,540,980/x
  3. Step 3: Cross multiply
    711,198x = 1,540,980 × 1,540,980
  4. Step 4: Simplify right side
    711,198x = 2,374,619,360,400
  5. Step 5: Solve for x
    x = 2,374,619,360,400/711,198
  6. Step 6: Final answer
    x = 3,338,900.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.