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Finding the Third Proportional to 741,247 and 1,624,327

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Solution

The third proportional to 741,247 and 1,624,327 is: 3,559,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,247 : 1,624,327 = 1,624,327 : x
  2. Step 2: Convert to fraction form
    741,247/1,624,327 = 1,624,327/x
  3. Step 3: Cross multiply
    741,247x = 1,624,327 × 1,624,327
  4. Step 4: Simplify right side
    741,247x = 2,638,438,202,929
  5. Step 5: Solve for x
    x = 2,638,438,202,929/741,247
  6. Step 6: Final answer
    x = 3,559,458.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.