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Finding the Third Proportional to 1,959,648 and 4,199,232

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Solution

The third proportional to 1,959,648 and 4,199,232 is: 8,998,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959,648 : 4,199,232 = 4,199,232 : x
  2. Step 2: Convert to fraction form
    1,959,648/4,199,232 = 4,199,232/x
  3. Step 3: Cross multiply
    1,959,648x = 4,199,232 × 4,199,232
  4. Step 4: Simplify right side
    1,959,648x = 17,633,549,389,824
  5. Step 5: Solve for x
    x = 17,633,549,389,824/1,959,648
  6. Step 6: Final answer
    x = 8,998,324.90

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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.