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Finding the Third Proportional to 1,183,468.50 and 1,922,730.75

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Solution

The third proportional to 1,183,468.50 and 1,922,730.75 is: 3,123,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183,468.50 : 1,922,730.75 = 1,922,730.75 : x
  2. Step 2: Convert to fraction form
    1,183,468.50/1,922,730.75 = 1,922,730.75/x
  3. Step 3: Cross multiply
    1,183,468.50x = 1,922,730.75 × 1,922,730.75
  4. Step 4: Simplify right side
    1,183,468.50x = 3,696,893,536,995.56
  5. Step 5: Solve for x
    x = 3,696,893,536,995.56/1,183,468.50
  6. Step 6: Final answer
    x = 3,123,778.57

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.