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Finding the Third Proportional to 1,903,304 and 4,138,384

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Solution

The third proportional to 1,903,304 and 4,138,384 is: 8,998,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903,304 : 4,138,384 = 4,138,384 : x
  2. Step 2: Convert to fraction form
    1,903,304/4,138,384 = 4,138,384/x
  3. Step 3: Cross multiply
    1,903,304x = 4,138,384 × 4,138,384
  4. Step 4: Simplify right side
    1,903,304x = 17,126,222,131,456
  5. Step 5: Solve for x
    x = 17,126,222,131,456/1,903,304
  6. Step 6: Final answer
    x = 8,998,153.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.