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Finding the Third Proportional to 1,027,657 and 2,166,104

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Solution

The third proportional to 1,027,657 and 2,166,104 is: 4,565,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,657 : 2,166,104 = 2,166,104 : x
  2. Step 2: Convert to fraction form
    1,027,657/2,166,104 = 2,166,104/x
  3. Step 3: Cross multiply
    1,027,657x = 2,166,104 × 2,166,104
  4. Step 4: Simplify right side
    1,027,657x = 4,692,006,538,816
  5. Step 5: Solve for x
    x = 4,692,006,538,816/1,027,657
  6. Step 6: Final answer
    x = 4,565,732.09

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.