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Finding the Third Proportional to 4,022,216 and 5,626,296

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Solution

The third proportional to 4,022,216 and 5,626,296 is: 7,870,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,022,216 : 5,626,296 = 5,626,296 : x
  2. Step 2: Convert to fraction form
    4,022,216/5,626,296 = 5,626,296/x
  3. Step 3: Cross multiply
    4,022,216x = 5,626,296 × 5,626,296
  4. Step 4: Simplify right side
    4,022,216x = 31,655,206,679,616
  5. Step 5: Solve for x
    x = 31,655,206,679,616/4,022,216
  6. Step 6: Final answer
    x = 7,870,091.18

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.