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Finding the Third Proportional to 711,180 and 1,542,888

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Solution

The third proportional to 711,180 and 1,542,888 is: 3,347,258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,180 : 1,542,888 = 1,542,888 : x
  2. Step 2: Convert to fraction form
    711,180/1,542,888 = 1,542,888/x
  3. Step 3: Cross multiply
    711,180x = 1,542,888 × 1,542,888
  4. Step 4: Simplify right side
    711,180x = 2,380,503,380,544
  5. Step 5: Solve for x
    x = 2,380,503,380,544/711,180
  6. Step 6: Final answer
    x = 3,347,258.61

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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.