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Finding the Third Proportional to 981,400 and 1,477,014

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Solution

The third proportional to 981,400 and 1,477,014 is: 2,222,916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,400 : 1,477,014 = 1,477,014 : x
  2. Step 2: Convert to fraction form
    981,400/1,477,014 = 1,477,014/x
  3. Step 3: Cross multiply
    981,400x = 1,477,014 × 1,477,014
  4. Step 4: Simplify right side
    981,400x = 2,181,570,356,196
  5. Step 5: Solve for x
    x = 2,181,570,356,196/981,400
  6. Step 6: Final answer
    x = 2,222,916.61

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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.