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Finding the Third Proportional to 1,082,186 and 1,682,224

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Solution

The third proportional to 1,082,186 and 1,682,224 is: 2,614,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,186 : 1,682,224 = 1,682,224 : x
  2. Step 2: Convert to fraction form
    1,082,186/1,682,224 = 1,682,224/x
  3. Step 3: Cross multiply
    1,082,186x = 1,682,224 × 1,682,224
  4. Step 4: Simplify right side
    1,082,186x = 2,829,877,586,176
  5. Step 5: Solve for x
    x = 2,829,877,586,176/1,082,186
  6. Step 6: Final answer
    x = 2,614,964.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.