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Finding the Third Proportional to 3,784,164 and 5,715,558

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Solution

The third proportional to 3,784,164 and 5,715,558 is: 8,632,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784,164 : 5,715,558 = 5,715,558 : x
  2. Step 2: Convert to fraction form
    3,784,164/5,715,558 = 5,715,558/x
  3. Step 3: Cross multiply
    3,784,164x = 5,715,558 × 5,715,558
  4. Step 4: Simplify right side
    3,784,164x = 32,667,603,251,364
  5. Step 5: Solve for x
    x = 32,667,603,251,364/3,784,164
  6. Step 6: Final answer
    x = 8,632,713.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.