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Finding the Third Proportional to 1,309,918 and 2,082,966

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Solution

The third proportional to 1,309,918 and 2,082,966 is: 3,312,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,918 : 2,082,966 = 2,082,966 : x
  2. Step 2: Convert to fraction form
    1,309,918/2,082,966 = 2,082,966/x
  3. Step 3: Cross multiply
    1,309,918x = 2,082,966 × 2,082,966
  4. Step 4: Simplify right side
    1,309,918x = 4,338,747,357,156
  5. Step 5: Solve for x
    x = 4,338,747,357,156/1,309,918
  6. Step 6: Final answer
    x = 3,312,228.21

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.