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Finding the Third Proportional to 2,824,224 and 4,310,234

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Solution

The third proportional to 2,824,224 and 4,310,234 is: 6,578,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824,224 : 4,310,234 = 4,310,234 : x
  2. Step 2: Convert to fraction form
    2,824,224/4,310,234 = 4,310,234/x
  3. Step 3: Cross multiply
    2,824,224x = 4,310,234 × 4,310,234
  4. Step 4: Simplify right side
    2,824,224x = 18,578,117,134,756
  5. Step 5: Solve for x
    x = 18,578,117,134,756/2,824,224
  6. Step 6: Final answer
    x = 6,578,131.60

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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.