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Finding the Third Proportional to 3,212,512 and 4,974,288

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Solution

The third proportional to 3,212,512 and 4,974,288 is: 7,702,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,512 : 4,974,288 = 4,974,288 : x
  2. Step 2: Convert to fraction form
    3,212,512/4,974,288 = 4,974,288/x
  3. Step 3: Cross multiply
    3,212,512x = 4,974,288 × 4,974,288
  4. Step 4: Simplify right side
    3,212,512x = 24,743,541,106,944
  5. Step 5: Solve for x
    x = 24,743,541,106,944/3,212,512
  6. Step 6: Final answer
    x = 7,702,240.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.