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Finding the Third Proportional to 543,874 and 1,195,421

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Solution

The third proportional to 543,874 and 1,195,421 is: 2,627,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,874 : 1,195,421 = 1,195,421 : x
  2. Step 2: Convert to fraction form
    543,874/1,195,421 = 1,195,421/x
  3. Step 3: Cross multiply
    543,874x = 1,195,421 × 1,195,421
  4. Step 4: Simplify right side
    543,874x = 1,429,031,367,241
  5. Step 5: Solve for x
    x = 1,429,031,367,241/543,874
  6. Step 6: Final answer
    x = 2,627,504.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.