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Finding the Third Proportional to 902,634 and 1,922,232

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Solution

The third proportional to 902,634 and 1,922,232 is: 4,093,548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,634 : 1,922,232 = 1,922,232 : x
  2. Step 2: Convert to fraction form
    902,634/1,922,232 = 1,922,232/x
  3. Step 3: Cross multiply
    902,634x = 1,922,232 × 1,922,232
  4. Step 4: Simplify right side
    902,634x = 3,694,975,861,824
  5. Step 5: Solve for x
    x = 3,694,975,861,824/902,634
  6. Step 6: Final answer
    x = 4,093,548.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.