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Finding the Third Proportional to 3,857,738 and 5,290,018

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Solution

The third proportional to 3,857,738 and 5,290,018 is: 7,254,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,738 : 5,290,018 = 5,290,018 : x
  2. Step 2: Convert to fraction form
    3,857,738/5,290,018 = 5,290,018/x
  3. Step 3: Cross multiply
    3,857,738x = 5,290,018 × 5,290,018
  4. Step 4: Simplify right side
    3,857,738x = 27,984,290,440,324
  5. Step 5: Solve for x
    x = 27,984,290,440,324/3,857,738
  6. Step 6: Final answer
    x = 7,254,067.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.