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Finding the Third Proportional to 811,296 and 1,262,790

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Solution

The third proportional to 811,296 and 1,262,790 is: 1,965,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,296 : 1,262,790 = 1,262,790 : x
  2. Step 2: Convert to fraction form
    811,296/1,262,790 = 1,262,790/x
  3. Step 3: Cross multiply
    811,296x = 1,262,790 × 1,262,790
  4. Step 4: Simplify right side
    811,296x = 1,594,638,584,100
  5. Step 5: Solve for x
    x = 1,594,638,584,100/811,296
  6. Step 6: Final answer
    x = 1,965,544.74

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.