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Finding the Third Proportional to 2,947,284 and 4,431,861

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Solution

The third proportional to 2,947,284 and 4,431,861 is: 6,664,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,284 : 4,431,861 = 4,431,861 : x
  2. Step 2: Convert to fraction form
    2,947,284/4,431,861 = 4,431,861/x
  3. Step 3: Cross multiply
    2,947,284x = 4,431,861 × 4,431,861
  4. Step 4: Simplify right side
    2,947,284x = 19,641,391,923,321
  5. Step 5: Solve for x
    x = 19,641,391,923,321/2,947,284
  6. Step 6: Final answer
    x = 6,664,234.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.