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Finding the Third Proportional to 2,529,123.75 and 3,857,037.75

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Solution

The third proportional to 2,529,123.75 and 3,857,037.75 is: 5,882,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529,123.75 : 3,857,037.75 = 3,857,037.75 : x
  2. Step 2: Convert to fraction form
    2,529,123.75/3,857,037.75 = 3,857,037.75/x
  3. Step 3: Cross multiply
    2,529,123.75x = 3,857,037.75 × 3,857,037.75
  4. Step 4: Simplify right side
    2,529,123.75x = 14,876,740,204,925.06
  5. Step 5: Solve for x
    x = 14,876,740,204,925.06/2,529,123.75
  6. Step 6: Final answer
    x = 5,882,171.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.