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Finding the Third Proportional to 1,335,120.50 and 2,942,523

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Solution

The third proportional to 1,335,120.50 and 2,942,523 is: 6,485,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,120.50 : 2,942,523 = 2,942,523 : x
  2. Step 2: Convert to fraction form
    1,335,120.50/2,942,523 = 2,942,523/x
  3. Step 3: Cross multiply
    1,335,120.50x = 2,942,523 × 2,942,523
  4. Step 4: Simplify right side
    1,335,120.50x = 8,658,441,605,529
  5. Step 5: Solve for x
    x = 8,658,441,605,529/1,335,120.50
  6. Step 6: Final answer
    x = 6,485,138.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.