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Finding the Third Proportional to 666,408 and 1,451,136

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Solution

The third proportional to 666,408 and 1,451,136 is: 3,159,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,408 : 1,451,136 = 1,451,136 : x
  2. Step 2: Convert to fraction form
    666,408/1,451,136 = 1,451,136/x
  3. Step 3: Cross multiply
    666,408x = 1,451,136 × 1,451,136
  4. Step 4: Simplify right side
    666,408x = 2,105,795,690,496
  5. Step 5: Solve for x
    x = 2,105,795,690,496/666,408
  6. Step 6: Final answer
    x = 3,159,919.58

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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.