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Finding the Third Proportional to 796,140 and 1,682,136

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Solution

The third proportional to 796,140 and 1,682,136 is: 3,554,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,140 : 1,682,136 = 1,682,136 : x
  2. Step 2: Convert to fraction form
    796,140/1,682,136 = 1,682,136/x
  3. Step 3: Cross multiply
    796,140x = 1,682,136 × 1,682,136
  4. Step 4: Simplify right side
    796,140x = 2,829,581,522,496
  5. Step 5: Solve for x
    x = 2,829,581,522,496/796,140
  6. Step 6: Final answer
    x = 3,554,125.56

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.