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Finding the Third Proportional to 505,909 and 1,083,543

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Solution

The third proportional to 505,909 and 1,083,543 is: 2,320,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,909 : 1,083,543 = 1,083,543 : x
  2. Step 2: Convert to fraction form
    505,909/1,083,543 = 1,083,543/x
  3. Step 3: Cross multiply
    505,909x = 1,083,543 × 1,083,543
  4. Step 4: Simplify right side
    505,909x = 1,174,065,432,849
  5. Step 5: Solve for x
    x = 1,174,065,432,849/505,909
  6. Step 6: Final answer
    x = 2,320,704.78

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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.