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Finding the Third Proportional to 2,494,590 and 3,764,457

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Solution

The third proportional to 2,494,590 and 3,764,457 is: 5,680,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494,590 : 3,764,457 = 3,764,457 : x
  2. Step 2: Convert to fraction form
    2,494,590/3,764,457 = 3,764,457/x
  3. Step 3: Cross multiply
    2,494,590x = 3,764,457 × 3,764,457
  4. Step 4: Simplify right side
    2,494,590x = 14,171,136,504,849
  5. Step 5: Solve for x
    x = 14,171,136,504,849/2,494,590
  6. Step 6: Final answer
    x = 5,680,747.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.