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Finding the Third Proportional to 538,227 and 1,268,752

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Solution

The third proportional to 538,227 and 1,268,752 is: 2,990,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,227 : 1,268,752 = 1,268,752 : x
  2. Step 2: Convert to fraction form
    538,227/1,268,752 = 1,268,752/x
  3. Step 3: Cross multiply
    538,227x = 1,268,752 × 1,268,752
  4. Step 4: Simplify right side
    538,227x = 1,609,731,637,504
  5. Step 5: Solve for x
    x = 1,609,731,637,504/538,227
  6. Step 6: Final answer
    x = 2,990,804.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.