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Finding the Third Proportional to 543,870 and 1,152,573

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Solution

The third proportional to 543,870 and 1,152,573 is: 2,442,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,870 : 1,152,573 = 1,152,573 : x
  2. Step 2: Convert to fraction form
    543,870/1,152,573 = 1,152,573/x
  3. Step 3: Cross multiply
    543,870x = 1,152,573 × 1,152,573
  4. Step 4: Simplify right side
    543,870x = 1,328,424,520,329
  5. Step 5: Solve for x
    x = 1,328,424,520,329/543,870
  6. Step 6: Final answer
    x = 2,442,540.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.