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Finding the Third Proportional to 1,038,136 and 2,231,456

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Solution

The third proportional to 1,038,136 and 2,231,456 is: 4,796,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,136 : 2,231,456 = 2,231,456 : x
  2. Step 2: Convert to fraction form
    1,038,136/2,231,456 = 2,231,456/x
  3. Step 3: Cross multiply
    1,038,136x = 2,231,456 × 2,231,456
  4. Step 4: Simplify right side
    1,038,136x = 4,979,395,879,936
  5. Step 5: Solve for x
    x = 4,979,395,879,936/1,038,136
  6. Step 6: Final answer
    x = 4,796,477.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.