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Finding the Third Proportional to 1,959,640 and 4,199,216

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Solution

The third proportional to 1,959,640 and 4,199,216 is: 8,998,293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959,640 : 4,199,216 = 4,199,216 : x
  2. Step 2: Convert to fraction form
    1,959,640/4,199,216 = 4,199,216/x
  3. Step 3: Cross multiply
    1,959,640x = 4,199,216 × 4,199,216
  4. Step 4: Simplify right side
    1,959,640x = 17,633,415,014,656
  5. Step 5: Solve for x
    x = 17,633,415,014,656/1,959,640
  6. Step 6: Final answer
    x = 8,998,293.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.