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Finding the Third Proportional to 1,561,992 and 3,410,400

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Solution

The third proportional to 1,561,992 and 3,410,400 is: 7,446,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,992 : 3,410,400 = 3,410,400 : x
  2. Step 2: Convert to fraction form
    1,561,992/3,410,400 = 3,410,400/x
  3. Step 3: Cross multiply
    1,561,992x = 3,410,400 × 3,410,400
  4. Step 4: Simplify right side
    1,561,992x = 11,630,828,160,000
  5. Step 5: Solve for x
    x = 11,630,828,160,000/1,561,992
  6. Step 6: Final answer
    x = 7,446,150.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.