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Finding the Third Proportional to 935,944 and 1,448,016

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Solution

The third proportional to 935,944 and 1,448,016 is: 2,240,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,944 : 1,448,016 = 1,448,016 : x
  2. Step 2: Convert to fraction form
    935,944/1,448,016 = 1,448,016/x
  3. Step 3: Cross multiply
    935,944x = 1,448,016 × 1,448,016
  4. Step 4: Simplify right side
    935,944x = 2,096,750,336,256
  5. Step 5: Solve for x
    x = 2,096,750,336,256/935,944
  6. Step 6: Final answer
    x = 2,240,251.91

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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.