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Finding the Third Proportional to 505,660 and 1,083,288

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Solution

The third proportional to 505,660 and 1,083,288 is: 2,320,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,660 : 1,083,288 = 1,083,288 : x
  2. Step 2: Convert to fraction form
    505,660/1,083,288 = 1,083,288/x
  3. Step 3: Cross multiply
    505,660x = 1,083,288 × 1,083,288
  4. Step 4: Simplify right side
    505,660x = 1,173,512,890,944
  5. Step 5: Solve for x
    x = 1,173,512,890,944/505,660
  6. Step 6: Final answer
    x = 2,320,754.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.