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Finding the Third Proportional to 981,425 and 1,477,050

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Solution

The third proportional to 981,425 and 1,477,050 is: 2,222,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,425 : 1,477,050 = 1,477,050 : x
  2. Step 2: Convert to fraction form
    981,425/1,477,050 = 1,477,050/x
  3. Step 3: Cross multiply
    981,425x = 1,477,050 × 1,477,050
  4. Step 4: Simplify right side
    981,425x = 2,181,676,702,500
  5. Step 5: Solve for x
    x = 2,181,676,702,500/981,425
  6. Step 6: Final answer
    x = 2,222,968.34

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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.