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Finding the Third Proportional to 1,384,108 and 2,975,144

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Solution

The third proportional to 1,384,108 and 2,975,144 is: 6,395,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,108 : 2,975,144 = 2,975,144 : x
  2. Step 2: Convert to fraction form
    1,384,108/2,975,144 = 2,975,144/x
  3. Step 3: Cross multiply
    1,384,108x = 2,975,144 × 2,975,144
  4. Step 4: Simplify right side
    1,384,108x = 8,851,481,820,736
  5. Step 5: Solve for x
    x = 8,851,481,820,736/1,384,108
  6. Step 6: Final answer
    x = 6,395,080.31

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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.