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Finding the Third Proportional to 505,664 and 1,086,372

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Solution

The third proportional to 505,664 and 1,086,372 is: 2,333,969.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,664 : 1,086,372 = 1,086,372 : x
  2. Step 2: Convert to fraction form
    505,664/1,086,372 = 1,086,372/x
  3. Step 3: Cross multiply
    505,664x = 1,086,372 × 1,086,372
  4. Step 4: Simplify right side
    505,664x = 1,180,204,122,384
  5. Step 5: Solve for x
    x = 1,180,204,122,384/505,664
  6. Step 6: Final answer
    x = 2,333,969.04

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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.