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Finding the Third Proportional to 537,384 and 1,173,012

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Solution

The third proportional to 537,384 and 1,173,012 is: 2,560,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,384 : 1,173,012 = 1,173,012 : x
  2. Step 2: Convert to fraction form
    537,384/1,173,012 = 1,173,012/x
  3. Step 3: Cross multiply
    537,384x = 1,173,012 × 1,173,012
  4. Step 4: Simplify right side
    537,384x = 1,375,957,152,144
  5. Step 5: Solve for x
    x = 1,375,957,152,144/537,384
  6. Step 6: Final answer
    x = 2,560,472.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.