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Finding the Third Proportional to 519,285 and 1,079,849.25

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Solution

The third proportional to 519,285 and 1,079,849.25 is: 2,245,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,285 : 1,079,849.25 = 1,079,849.25 : x
  2. Step 2: Convert to fraction form
    519,285/1,079,849.25 = 1,079,849.25/x
  3. Step 3: Cross multiply
    519,285x = 1,079,849.25 × 1,079,849.25
  4. Step 4: Simplify right side
    519,285x = 1,166,074,402,725.56
  5. Step 5: Solve for x
    x = 1,166,074,402,725.56/519,285
  6. Step 6: Final answer
    x = 2,245,538.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.