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Finding the Third Proportional to 618,456 and 882,036

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Solution

The third proportional to 618,456 and 882,036 is: 1,257,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,456 : 882,036 = 882,036 : x
  2. Step 2: Convert to fraction form
    618,456/882,036 = 882,036/x
  3. Step 3: Cross multiply
    618,456x = 882,036 × 882,036
  4. Step 4: Simplify right side
    618,456x = 777,987,505,296
  5. Step 5: Solve for x
    x = 777,987,505,296/618,456
  6. Step 6: Final answer
    x = 1,257,951.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.