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Finding the Third Proportional to 511,883 and 1,102,256

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Solution

The third proportional to 511,883 and 1,102,256 is: 2,373,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,883 : 1,102,256 = 1,102,256 : x
  2. Step 2: Convert to fraction form
    511,883/1,102,256 = 1,102,256/x
  3. Step 3: Cross multiply
    511,883x = 1,102,256 × 1,102,256
  4. Step 4: Simplify right side
    511,883x = 1,214,968,289,536
  5. Step 5: Solve for x
    x = 1,214,968,289,536/511,883
  6. Step 6: Final answer
    x = 2,373,527.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.