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Finding the Third Proportional to 3,787,294.50 and 5,327,095.50

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Solution

The third proportional to 3,787,294.50 and 5,327,095.50 is: 7,492,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787,294.50 : 5,327,095.50 = 5,327,095.50 : x
  2. Step 2: Convert to fraction form
    3,787,294.50/5,327,095.50 = 5,327,095.50/x
  3. Step 3: Cross multiply
    3,787,294.50x = 5,327,095.50 × 5,327,095.50
  4. Step 4: Simplify right side
    3,787,294.50x = 28,377,946,466,120.25
  5. Step 5: Solve for x
    x = 28,377,946,466,120.25/3,787,294.50
  6. Step 6: Final answer
    x = 7,492,933.67

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.