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Finding the Third Proportional to 1,027,657.50 and 2,166,105

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Solution

The third proportional to 1,027,657.50 and 2,166,105 is: 4,565,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,657.50 : 2,166,105 = 2,166,105 : x
  2. Step 2: Convert to fraction form
    1,027,657.50/2,166,105 = 2,166,105/x
  3. Step 3: Cross multiply
    1,027,657.50x = 2,166,105 × 2,166,105
  4. Step 4: Simplify right side
    1,027,657.50x = 4,692,010,871,025
  5. Step 5: Solve for x
    x = 4,692,010,871,025/1,027,657.50
  6. Step 6: Final answer
    x = 4,565,734.08

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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.