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Finding the Third Proportional to 587,544 and 1,209,864

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Solution

The third proportional to 587,544 and 1,209,864 is: 2,491,338.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,544 : 1,209,864 = 1,209,864 : x
  2. Step 2: Convert to fraction form
    587,544/1,209,864 = 1,209,864/x
  3. Step 3: Cross multiply
    587,544x = 1,209,864 × 1,209,864
  4. Step 4: Simplify right side
    587,544x = 1,463,770,898,496
  5. Step 5: Solve for x
    x = 1,463,770,898,496/587,544
  6. Step 6: Final answer
    x = 2,491,338.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.