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Finding the Third Proportional to 2,409,420 and 3,212,136

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Solution

The third proportional to 2,409,420 and 3,212,136 is: 4,282,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,420 : 3,212,136 = 3,212,136 : x
  2. Step 2: Convert to fraction form
    2,409,420/3,212,136 = 3,212,136/x
  3. Step 3: Cross multiply
    2,409,420x = 3,212,136 × 3,212,136
  4. Step 4: Simplify right side
    2,409,420x = 10,317,817,682,496
  5. Step 5: Solve for x
    x = 10,317,817,682,496/2,409,420
  6. Step 6: Final answer
    x = 4,282,282.74

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.