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Finding the Third Proportional to 512,883 and 1,104,642

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Solution

The third proportional to 512,883 and 1,104,642 is: 2,379,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,883 : 1,104,642 = 1,104,642 : x
  2. Step 2: Convert to fraction form
    512,883/1,104,642 = 1,104,642/x
  3. Step 3: Cross multiply
    512,883x = 1,104,642 × 1,104,642
  4. Step 4: Simplify right side
    512,883x = 1,220,233,948,164
  5. Step 5: Solve for x
    x = 1,220,233,948,164/512,883
  6. Step 6: Final answer
    x = 2,379,166.30

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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.