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Finding the Third Proportional to 3,616,542 and 5,471,307

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Solution

The third proportional to 3,616,542 and 5,471,307 is: 8,277,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616,542 : 5,471,307 = 5,471,307 : x
  2. Step 2: Convert to fraction form
    3,616,542/5,471,307 = 5,471,307/x
  3. Step 3: Cross multiply
    3,616,542x = 5,471,307 × 5,471,307
  4. Step 4: Simplify right side
    3,616,542x = 29,935,200,288,249
  5. Step 5: Solve for x
    x = 29,935,200,288,249/3,616,542
  6. Step 6: Final answer
    x = 8,277,299.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.