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Finding the Third Proportional to 2,199,200 and 3,405,216

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Solution

The third proportional to 2,199,200 and 3,405,216 is: 5,272,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199,200 : 3,405,216 = 3,405,216 : x
  2. Step 2: Convert to fraction form
    2,199,200/3,405,216 = 3,405,216/x
  3. Step 3: Cross multiply
    2,199,200x = 3,405,216 × 3,405,216
  4. Step 4: Simplify right side
    2,199,200x = 11,595,496,006,656
  5. Step 5: Solve for x
    x = 11,595,496,006,656/2,199,200
  6. Step 6: Final answer
    x = 5,272,597.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.