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Finding the Third Proportional to 711,544 and 1,541,186

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Solution

The third proportional to 711,544 and 1,541,186 is: 3,338,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,544 : 1,541,186 = 1,541,186 : x
  2. Step 2: Convert to fraction form
    711,544/1,541,186 = 1,541,186/x
  3. Step 3: Cross multiply
    711,544x = 1,541,186 × 1,541,186
  4. Step 4: Simplify right side
    711,544x = 2,375,254,286,596
  5. Step 5: Solve for x
    x = 2,375,254,286,596/711,544
  6. Step 6: Final answer
    x = 3,338,169.23

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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.