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Finding the Third Proportional to 982,815.56 and 2,102,258.44

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Solution

The third proportional to 982,815.56 and 2,102,258.44 is: 4,496,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,815.56 : 2,102,258.44 = 2,102,258.44 : x
  2. Step 2: Convert to fraction form
    982,815.56/2,102,258.44 = 2,102,258.44/x
  3. Step 3: Cross multiply
    982,815.56x = 2,102,258.44 × 2,102,258.44
  4. Step 4: Simplify right side
    982,815.56x = 4,419,490,538,039.94
  5. Step 5: Solve for x
    x = 4,419,490,538,039.94/982,815.56
  6. Step 6: Final answer
    x = 4,496,764.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.