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Finding the Third Proportional to 1,561,998 and 3,410,412

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Solution

The third proportional to 1,561,998 and 3,410,412 is: 7,446,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,998 : 3,410,412 = 3,410,412 : x
  2. Step 2: Convert to fraction form
    1,561,998/3,410,412 = 3,410,412/x
  3. Step 3: Cross multiply
    1,561,998x = 3,410,412 × 3,410,412
  4. Step 4: Simplify right side
    1,561,998x = 11,630,910,009,744
  5. Step 5: Solve for x
    x = 11,630,910,009,744/1,561,998
  6. Step 6: Final answer
    x = 7,446,174.71

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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.