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Finding the Third Proportional to 3,466,296 and 5,210,136

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Solution

The third proportional to 3,466,296 and 5,210,136 is: 7,831,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466,296 : 5,210,136 = 5,210,136 : x
  2. Step 2: Convert to fraction form
    3,466,296/5,210,136 = 5,210,136/x
  3. Step 3: Cross multiply
    3,466,296x = 5,210,136 × 5,210,136
  4. Step 4: Simplify right side
    3,466,296x = 27,145,517,138,496
  5. Step 5: Solve for x
    x = 27,145,517,138,496/3,466,296
  6. Step 6: Final answer
    x = 7,831,274.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.