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Finding the Third Proportional to 3,504,381.50 and 5,123,529.75

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Solution

The third proportional to 3,504,381.50 and 5,123,529.75 is: 7,490,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504,381.50 : 5,123,529.75 = 5,123,529.75 : x
  2. Step 2: Convert to fraction form
    3,504,381.50/5,123,529.75 = 5,123,529.75/x
  3. Step 3: Cross multiply
    3,504,381.50x = 5,123,529.75 × 5,123,529.75
  4. Step 4: Simplify right side
    3,504,381.50x = 26,250,557,099,135.06
  5. Step 5: Solve for x
    x = 26,250,557,099,135.06/3,504,381.50
  6. Step 6: Final answer
    x = 7,490,781.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.