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Finding the Third Proportional to 3,432,383 and 4,661,601

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Solution

The third proportional to 3,432,383 and 4,661,601 is: 6,331,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432,383 : 4,661,601 = 4,661,601 : x
  2. Step 2: Convert to fraction form
    3,432,383/4,661,601 = 4,661,601/x
  3. Step 3: Cross multiply
    3,432,383x = 4,661,601 × 4,661,601
  4. Step 4: Simplify right side
    3,432,383x = 21,730,523,883,201
  5. Step 5: Solve for x
    x = 21,730,523,883,201/3,432,383
  6. Step 6: Final answer
    x = 6,331,031.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.