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Finding the Third Proportional to 1,100,364 and 2,410,680

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Solution

The third proportional to 1,100,364 and 2,410,680 is: 5,281,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,364 : 2,410,680 = 2,410,680 : x
  2. Step 2: Convert to fraction form
    1,100,364/2,410,680 = 2,410,680/x
  3. Step 3: Cross multiply
    1,100,364x = 2,410,680 × 2,410,680
  4. Step 4: Simplify right side
    1,100,364x = 5,811,378,062,400
  5. Step 5: Solve for x
    x = 5,811,378,062,400/1,100,364
  6. Step 6: Final answer
    x = 5,281,323.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.