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Finding the Third Proportional to 1,022,120 and 2,223,216

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Solution

The third proportional to 1,022,120 and 2,223,216 is: 4,835,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,120 : 2,223,216 = 2,223,216 : x
  2. Step 2: Convert to fraction form
    1,022,120/2,223,216 = 2,223,216/x
  3. Step 3: Cross multiply
    1,022,120x = 2,223,216 × 2,223,216
  4. Step 4: Simplify right side
    1,022,120x = 4,942,689,382,656
  5. Step 5: Solve for x
    x = 4,942,689,382,656/1,022,120
  6. Step 6: Final answer
    x = 4,835,723.19

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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.