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Finding the Third Proportional to 1,614,615 and 3,461,052

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Solution

The third proportional to 1,614,615 and 3,461,052 is: 7,419,032.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,615 : 3,461,052 = 3,461,052 : x
  2. Step 2: Convert to fraction form
    1,614,615/3,461,052 = 3,461,052/x
  3. Step 3: Cross multiply
    1,614,615x = 3,461,052 × 3,461,052
  4. Step 4: Simplify right side
    1,614,615x = 11,978,880,946,704
  5. Step 5: Solve for x
    x = 11,978,880,946,704/1,614,615
  6. Step 6: Final answer
    x = 7,419,032.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.