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Finding the Third Proportional to 832,012 and 1,188,954

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Solution

The third proportional to 832,012 and 1,188,954 is: 1,699,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,012 : 1,188,954 = 1,188,954 : x
  2. Step 2: Convert to fraction form
    832,012/1,188,954 = 1,188,954/x
  3. Step 3: Cross multiply
    832,012x = 1,188,954 × 1,188,954
  4. Step 4: Simplify right side
    832,012x = 1,413,611,614,116
  5. Step 5: Solve for x
    x = 1,413,611,614,116/832,012
  6. Step 6: Final answer
    x = 1,699,027.92

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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.