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Finding the Third Proportional to 519,234.50 and 1,121,507

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Solution

The third proportional to 519,234.50 and 1,121,507 is: 2,422,369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,234.50 : 1,121,507 = 1,121,507 : x
  2. Step 2: Convert to fraction form
    519,234.50/1,121,507 = 1,121,507/x
  3. Step 3: Cross multiply
    519,234.50x = 1,121,507 × 1,121,507
  4. Step 4: Simplify right side
    519,234.50x = 1,257,777,951,049
  5. Step 5: Solve for x
    x = 1,257,777,951,049/519,234.50
  6. Step 6: Final answer
    x = 2,422,369.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.