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Finding the Third Proportional to 512,796 and 1,122,264

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Solution

The third proportional to 512,796 and 1,122,264 is: 2,456,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,796 : 1,122,264 = 1,122,264 : x
  2. Step 2: Convert to fraction form
    512,796/1,122,264 = 1,122,264/x
  3. Step 3: Cross multiply
    512,796x = 1,122,264 × 1,122,264
  4. Step 4: Simplify right side
    512,796x = 1,259,476,485,696
  5. Step 5: Solve for x
    x = 1,259,476,485,696/512,796
  6. Step 6: Final answer
    x = 2,456,096.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.