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Finding the Third Proportional to 981,424 and 1,477,052

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Solution

The third proportional to 981,424 and 1,477,052 is: 2,222,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,424 : 1,477,052 = 1,477,052 : x
  2. Step 2: Convert to fraction form
    981,424/1,477,052 = 1,477,052/x
  3. Step 3: Cross multiply
    981,424x = 1,477,052 × 1,477,052
  4. Step 4: Simplify right side
    981,424x = 2,181,682,610,704
  5. Step 5: Solve for x
    x = 2,181,682,610,704/981,424
  6. Step 6: Final answer
    x = 2,222,976.62

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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.