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Finding the Third Proportional to 3,742,108 and 5,213,698

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Solution

The third proportional to 3,742,108 and 5,213,698 is: 7,263,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742,108 : 5,213,698 = 5,213,698 : x
  2. Step 2: Convert to fraction form
    3,742,108/5,213,698 = 5,213,698/x
  3. Step 3: Cross multiply
    3,742,108x = 5,213,698 × 5,213,698
  4. Step 4: Simplify right side
    3,742,108x = 27,182,646,835,204
  5. Step 5: Solve for x
    x = 27,182,646,835,204/3,742,108
  6. Step 6: Final answer
    x = 7,263,993.14

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.