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Finding the Third Proportional to 799,296 and 1,204,224

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Solution

The third proportional to 799,296 and 1,204,224 is: 1,814,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,296 : 1,204,224 = 1,204,224 : x
  2. Step 2: Convert to fraction form
    799,296/1,204,224 = 1,204,224/x
  3. Step 3: Cross multiply
    799,296x = 1,204,224 × 1,204,224
  4. Step 4: Simplify right side
    799,296x = 1,450,155,442,176
  5. Step 5: Solve for x
    x = 1,450,155,442,176/799,296
  6. Step 6: Final answer
    x = 1,814,290.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.