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Finding the Third Proportional to 512,992 and 1,112,924

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Solution

The third proportional to 512,992 and 1,112,924 is: 2,414,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,992 : 1,112,924 = 1,112,924 : x
  2. Step 2: Convert to fraction form
    512,992/1,112,924 = 1,112,924/x
  3. Step 3: Cross multiply
    512,992x = 1,112,924 × 1,112,924
  4. Step 4: Simplify right side
    512,992x = 1,238,599,829,776
  5. Step 5: Solve for x
    x = 1,238,599,829,776/512,992
  6. Step 6: Final answer
    x = 2,414,462.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.