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Finding the Third Proportional to 536,010.75 and 1,178,286.19

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Solution

The third proportional to 536,010.75 and 1,178,286.19 is: 2,590,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,010.75 : 1,178,286.19 = 1,178,286.19 : x
  2. Step 2: Convert to fraction form
    536,010.75/1,178,286.19 = 1,178,286.19/x
  3. Step 3: Cross multiply
    536,010.75x = 1,178,286.19 × 1,178,286.19
  4. Step 4: Simplify right side
    536,010.75x = 1,388,358,339,653.29
  5. Step 5: Solve for x
    x = 1,388,358,339,653.29/536,010.75
  6. Step 6: Final answer
    x = 2,590,168.83

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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.