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Finding the Third Proportional to 511,954 and 1,113,256

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Solution

The third proportional to 511,954 and 1,113,256 is: 2,420,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,954 : 1,113,256 = 1,113,256 : x
  2. Step 2: Convert to fraction form
    511,954/1,113,256 = 1,113,256/x
  3. Step 3: Cross multiply
    511,954x = 1,113,256 × 1,113,256
  4. Step 4: Simplify right side
    511,954x = 1,239,338,921,536
  5. Step 5: Solve for x
    x = 1,239,338,921,536/511,954
  6. Step 6: Final answer
    x = 2,420,801.32

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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.