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Finding the Third Proportional to 512,874 and 1,112,681

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Solution

The third proportional to 512,874 and 1,112,681 is: 2,413,963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,874 : 1,112,681 = 1,112,681 : x
  2. Step 2: Convert to fraction form
    512,874/1,112,681 = 1,112,681/x
  3. Step 3: Cross multiply
    512,874x = 1,112,681 × 1,112,681
  4. Step 4: Simplify right side
    512,874x = 1,238,059,007,761
  5. Step 5: Solve for x
    x = 1,238,059,007,761/512,874
  6. Step 6: Final answer
    x = 2,413,963.29

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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.