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Finding the Third Proportional to 1,082,042 and 2,314,176

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Solution

The third proportional to 1,082,042 and 2,314,176 is: 4,949,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,042 : 2,314,176 = 2,314,176 : x
  2. Step 2: Convert to fraction form
    1,082,042/2,314,176 = 2,314,176/x
  3. Step 3: Cross multiply
    1,082,042x = 2,314,176 × 2,314,176
  4. Step 4: Simplify right side
    1,082,042x = 5,355,410,558,976
  5. Step 5: Solve for x
    x = 5,355,410,558,976/1,082,042
  6. Step 6: Final answer
    x = 4,949,355.53

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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.