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Finding the Third Proportional to 3,432,413 and 4,661,601

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Solution

The third proportional to 3,432,413 and 4,661,601 is: 6,330,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432,413 : 4,661,601 = 4,661,601 : x
  2. Step 2: Convert to fraction form
    3,432,413/4,661,601 = 4,661,601/x
  3. Step 3: Cross multiply
    3,432,413x = 4,661,601 × 4,661,601
  4. Step 4: Simplify right side
    3,432,413x = 21,730,523,883,201
  5. Step 5: Solve for x
    x = 21,730,523,883,201/3,432,413
  6. Step 6: Final answer
    x = 6,330,975.87

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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.