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Finding the Third Proportional to 522,081 and 1,105,934

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Solution

The third proportional to 522,081 and 1,105,934 is: 2,342,720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,081 : 1,105,934 = 1,105,934 : x
  2. Step 2: Convert to fraction form
    522,081/1,105,934 = 1,105,934/x
  3. Step 3: Cross multiply
    522,081x = 1,105,934 × 1,105,934
  4. Step 4: Simplify right side
    522,081x = 1,223,090,012,356
  5. Step 5: Solve for x
    x = 1,223,090,012,356/522,081
  6. Step 6: Final answer
    x = 2,342,720.79

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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.