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Finding the Third Proportional to 2,101,260 and 3,212,880

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Solution

The third proportional to 2,101,260 and 3,212,880 is: 4,912,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101,260 : 3,212,880 = 3,212,880 : x
  2. Step 2: Convert to fraction form
    2,101,260/3,212,880 = 3,212,880/x
  3. Step 3: Cross multiply
    2,101,260x = 3,212,880 × 3,212,880
  4. Step 4: Simplify right side
    2,101,260x = 10,322,597,894,400
  5. Step 5: Solve for x
    x = 10,322,597,894,400/2,101,260
  6. Step 6: Final answer
    x = 4,912,575.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.