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Finding the Third Proportional to 772,961.06 and 1,648,626.75

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Solution

The third proportional to 772,961.06 and 1,648,626.75 is: 3,516,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,961.06 : 1,648,626.75 = 1,648,626.75 : x
  2. Step 2: Convert to fraction form
    772,961.06/1,648,626.75 = 1,648,626.75/x
  3. Step 3: Cross multiply
    772,961.06x = 1,648,626.75 × 1,648,626.75
  4. Step 4: Simplify right side
    772,961.06x = 2,717,970,160,815.56
  5. Step 5: Solve for x
    x = 2,717,970,160,815.56/772,961.06
  6. Step 6: Final answer
    x = 3,516,309.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.