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Finding the Third Proportional to 603,072 and 1,268,136

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Solution

The third proportional to 603,072 and 1,268,136 is: 2,666,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,072 : 1,268,136 = 1,268,136 : x
  2. Step 2: Convert to fraction form
    603,072/1,268,136 = 1,268,136/x
  3. Step 3: Cross multiply
    603,072x = 1,268,136 × 1,268,136
  4. Step 4: Simplify right side
    603,072x = 1,608,168,914,496
  5. Step 5: Solve for x
    x = 1,608,168,914,496/603,072
  6. Step 6: Final answer
    x = 2,666,628.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.