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Finding the Third Proportional to 1,306,530 and 2,053,116

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Solution

The third proportional to 1,306,530 and 2,053,116 is: 3,226,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,530 : 2,053,116 = 2,053,116 : x
  2. Step 2: Convert to fraction form
    1,306,530/2,053,116 = 2,053,116/x
  3. Step 3: Cross multiply
    1,306,530x = 2,053,116 × 2,053,116
  4. Step 4: Simplify right side
    1,306,530x = 4,215,285,309,456
  5. Step 5: Solve for x
    x = 4,215,285,309,456/1,306,530
  6. Step 6: Final answer
    x = 3,226,321.10

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.