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Finding the Third Proportional to 996,723 and 1,494,772.50

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Solution

The third proportional to 996,723 and 1,494,772.50 is: 2,241,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,723 : 1,494,772.50 = 1,494,772.50 : x
  2. Step 2: Convert to fraction form
    996,723/1,494,772.50 = 1,494,772.50/x
  3. Step 3: Cross multiply
    996,723x = 1,494,772.50 × 1,494,772.50
  4. Step 4: Simplify right side
    996,723x = 2,234,344,826,756.25
  5. Step 5: Solve for x
    x = 2,234,344,826,756.25/996,723
  6. Step 6: Final answer
    x = 2,241,690.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.