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Finding the Third Proportional to 1,288,098 and 2,831,172

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Solution

The third proportional to 1,288,098 and 2,831,172 is: 6,222,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,098 : 2,831,172 = 2,831,172 : x
  2. Step 2: Convert to fraction form
    1,288,098/2,831,172 = 2,831,172/x
  3. Step 3: Cross multiply
    1,288,098x = 2,831,172 × 2,831,172
  4. Step 4: Simplify right side
    1,288,098x = 8,015,534,893,584
  5. Step 5: Solve for x
    x = 8,015,534,893,584/1,288,098
  6. Step 6: Final answer
    x = 6,222,767.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.