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Finding the Third Proportional to 1,681,682 and 2,571,933

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Solution

The third proportional to 1,681,682 and 2,571,933 is: 3,933,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,682 : 2,571,933 = 2,571,933 : x
  2. Step 2: Convert to fraction form
    1,681,682/2,571,933 = 2,571,933/x
  3. Step 3: Cross multiply
    1,681,682x = 2,571,933 × 2,571,933
  4. Step 4: Simplify right side
    1,681,682x = 6,614,839,356,489
  5. Step 5: Solve for x
    x = 6,614,839,356,489/1,681,682
  6. Step 6: Final answer
    x = 3,933,466.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.