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Finding the Third Proportional to 1,691,624 and 3,647,324

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Solution

The third proportional to 1,691,624 and 3,647,324 is: 7,864,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,624 : 3,647,324 = 3,647,324 : x
  2. Step 2: Convert to fraction form
    1,691,624/3,647,324 = 3,647,324/x
  3. Step 3: Cross multiply
    1,691,624x = 3,647,324 × 3,647,324
  4. Step 4: Simplify right side
    1,691,624x = 13,302,972,360,976
  5. Step 5: Solve for x
    x = 13,302,972,360,976/1,691,624
  6. Step 6: Final answer
    x = 7,864,024.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.