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Finding the Third Proportional to 1,206,832 and 2,497,136

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Solution

The third proportional to 1,206,832 and 2,497,136 is: 5,166,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,832 : 2,497,136 = 2,497,136 : x
  2. Step 2: Convert to fraction form
    1,206,832/2,497,136 = 2,497,136/x
  3. Step 3: Cross multiply
    1,206,832x = 2,497,136 × 2,497,136
  4. Step 4: Simplify right side
    1,206,832x = 6,235,688,202,496
  5. Step 5: Solve for x
    x = 6,235,688,202,496/1,206,832
  6. Step 6: Final answer
    x = 5,166,989.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.