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Finding the Third Proportional to 543,668 and 839,742

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Solution

The third proportional to 543,668 and 839,742 is: 1,297,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,668 : 839,742 = 839,742 : x
  2. Step 2: Convert to fraction form
    543,668/839,742 = 839,742/x
  3. Step 3: Cross multiply
    543,668x = 839,742 × 839,742
  4. Step 4: Simplify right side
    543,668x = 705,166,626,564
  5. Step 5: Solve for x
    x = 705,166,626,564/543,668
  6. Step 6: Final answer
    x = 1,297,053.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.