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Finding the Third Proportional to 519,728 and 1,173,872

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Solution

The third proportional to 519,728 and 1,173,872 is: 2,651,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,728 : 1,173,872 = 1,173,872 : x
  2. Step 2: Convert to fraction form
    519,728/1,173,872 = 1,173,872/x
  3. Step 3: Cross multiply
    519,728x = 1,173,872 × 1,173,872
  4. Step 4: Simplify right side
    519,728x = 1,377,975,472,384
  5. Step 5: Solve for x
    x = 1,377,975,472,384/519,728
  6. Step 6: Final answer
    x = 2,651,339.69

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.