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Finding the Third Proportional to 543,894.75 and 1,152,621.14

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Solution

The third proportional to 543,894.75 and 1,152,621.14 is: 2,442,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,894.75 : 1,152,621.14 = 1,152,621.14 : x
  2. Step 2: Convert to fraction form
    543,894.75/1,152,621.14 = 1,152,621.14/x
  3. Step 3: Cross multiply
    543,894.75x = 1,152,621.14 × 1,152,621.14
  4. Step 4: Simplify right side
    543,894.75x = 1,328,535,493,815.68
  5. Step 5: Solve for x
    x = 1,328,535,493,815.68/543,894.75
  6. Step 6: Final answer
    x = 2,442,633.42

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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.