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Finding the Third Proportional to 1,233,184 and 2,690,467

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Solution

The third proportional to 1,233,184 and 2,690,467 is: 5,869,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,184 : 2,690,467 = 2,690,467 : x
  2. Step 2: Convert to fraction form
    1,233,184/2,690,467 = 2,690,467/x
  3. Step 3: Cross multiply
    1,233,184x = 2,690,467 × 2,690,467
  4. Step 4: Simplify right side
    1,233,184x = 7,238,612,678,089
  5. Step 5: Solve for x
    x = 7,238,612,678,089/1,233,184
  6. Step 6: Final answer
    x = 5,869,856.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.