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Finding the Third Proportional to 831,956 and 1,188,886

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Solution

The third proportional to 831,956 and 1,188,886 is: 1,698,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,956 : 1,188,886 = 1,188,886 : x
  2. Step 2: Convert to fraction form
    831,956/1,188,886 = 1,188,886/x
  3. Step 3: Cross multiply
    831,956x = 1,188,886 × 1,188,886
  4. Step 4: Simplify right side
    831,956x = 1,413,449,920,996
  5. Step 5: Solve for x
    x = 1,413,449,920,996/831,956
  6. Step 6: Final answer
    x = 1,698,947.93

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.