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Finding the Third Proportional to 579,980 and 1,229,592

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Solution

The third proportional to 579,980 and 1,229,592 is: 2,606,807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,980 : 1,229,592 = 1,229,592 : x
  2. Step 2: Convert to fraction form
    579,980/1,229,592 = 1,229,592/x
  3. Step 3: Cross multiply
    579,980x = 1,229,592 × 1,229,592
  4. Step 4: Simplify right side
    579,980x = 1,511,896,486,464
  5. Step 5: Solve for x
    x = 1,511,896,486,464/579,980
  6. Step 6: Final answer
    x = 2,606,807.97

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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.