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Finding the Third Proportional to 464,016 and 1,013,256

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Solution

The third proportional to 464,016 and 1,013,256 is: 2,212,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,016 : 1,013,256 = 1,013,256 : x
  2. Step 2: Convert to fraction form
    464,016/1,013,256 = 1,013,256/x
  3. Step 3: Cross multiply
    464,016x = 1,013,256 × 1,013,256
  4. Step 4: Simplify right side
    464,016x = 1,026,687,721,536
  5. Step 5: Solve for x
    x = 1,026,687,721,536/464,016
  6. Step 6: Final answer
    x = 2,212,612.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.