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Finding the Third Proportional to 741,744 and 1,588,463

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Solution

The third proportional to 741,744 and 1,588,463 is: 3,401,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,744 : 1,588,463 = 1,588,463 : x
  2. Step 2: Convert to fraction form
    741,744/1,588,463 = 1,588,463/x
  3. Step 3: Cross multiply
    741,744x = 1,588,463 × 1,588,463
  4. Step 4: Simplify right side
    741,744x = 2,523,214,702,369
  5. Step 5: Solve for x
    x = 2,523,214,702,369/741,744
  6. Step 6: Final answer
    x = 3,401,732.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.