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Finding the Third Proportional to 1,027,658 and 2,166,106

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Solution

The third proportional to 1,027,658 and 2,166,106 is: 4,565,736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,658 : 2,166,106 = 2,166,106 : x
  2. Step 2: Convert to fraction form
    1,027,658/2,166,106 = 2,166,106/x
  3. Step 3: Cross multiply
    1,027,658x = 2,166,106 × 2,166,106
  4. Step 4: Simplify right side
    1,027,658x = 4,692,015,203,236
  5. Step 5: Solve for x
    x = 4,692,015,203,236/1,027,658
  6. Step 6: Final answer
    x = 4,565,736.07

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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.