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Finding the Third Proportional to 1,091,450 and 1,683,831

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Solution

The third proportional to 1,091,450 and 1,683,831 is: 2,597,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,450 : 1,683,831 = 1,683,831 : x
  2. Step 2: Convert to fraction form
    1,091,450/1,683,831 = 1,683,831/x
  3. Step 3: Cross multiply
    1,091,450x = 1,683,831 × 1,683,831
  4. Step 4: Simplify right side
    1,091,450x = 2,835,286,836,561
  5. Step 5: Solve for x
    x = 2,835,286,836,561/1,091,450
  6. Step 6: Final answer
    x = 2,597,724.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.