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Finding the Third Proportional to 772,956 and 1,188,756

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Solution

The third proportional to 772,956 and 1,188,756 is: 1,828,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,956 : 1,188,756 = 1,188,756 : x
  2. Step 2: Convert to fraction form
    772,956/1,188,756 = 1,188,756/x
  3. Step 3: Cross multiply
    772,956x = 1,188,756 × 1,188,756
  4. Step 4: Simplify right side
    772,956x = 1,413,140,827,536
  5. Step 5: Solve for x
    x = 1,413,140,827,536/772,956
  6. Step 6: Final answer
    x = 1,828,229.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.