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Finding the Third Proportional to 3,277,370 and 4,961,601

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Solution

The third proportional to 3,277,370 and 4,961,601 is: 7,511,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277,370 : 4,961,601 = 4,961,601 : x
  2. Step 2: Convert to fraction form
    3,277,370/4,961,601 = 4,961,601/x
  3. Step 3: Cross multiply
    3,277,370x = 4,961,601 × 4,961,601
  4. Step 4: Simplify right side
    3,277,370x = 24,617,484,483,201
  5. Step 5: Solve for x
    x = 24,617,484,483,201/3,277,370
  6. Step 6: Final answer
    x = 7,511,353.46

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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.