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Finding the Third Proportional to 1,019,202.75 and 2,217,754.69

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Solution

The third proportional to 1,019,202.75 and 2,217,754.69 is: 4,825,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,202.75 : 2,217,754.69 = 2,217,754.69 : x
  2. Step 2: Convert to fraction form
    1,019,202.75/2,217,754.69 = 2,217,754.69/x
  3. Step 3: Cross multiply
    1,019,202.75x = 2,217,754.69 × 2,217,754.69
  4. Step 4: Simplify right side
    1,019,202.75x = 4,918,435,853,928.22
  5. Step 5: Solve for x
    x = 4,918,435,853,928.22/1,019,202.75
  6. Step 6: Final answer
    x = 4,825,767.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.