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Finding the Third Proportional to 513,414 and 1,116,324

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Solution

The third proportional to 513,414 and 1,116,324 is: 2,427,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,414 : 1,116,324 = 1,116,324 : x
  2. Step 2: Convert to fraction form
    513,414/1,116,324 = 1,116,324/x
  3. Step 3: Cross multiply
    513,414x = 1,116,324 × 1,116,324
  4. Step 4: Simplify right side
    513,414x = 1,246,179,272,976
  5. Step 5: Solve for x
    x = 1,246,179,272,976/513,414
  6. Step 6: Final answer
    x = 2,427,240.54

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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.