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Finding the Third Proportional to 834,441.75 and 1,831,268.25

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Solution

The third proportional to 834,441.75 and 1,831,268.25 is: 4,018,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,441.75 : 1,831,268.25 = 1,831,268.25 : x
  2. Step 2: Convert to fraction form
    834,441.75/1,831,268.25 = 1,831,268.25/x
  3. Step 3: Cross multiply
    834,441.75x = 1,831,268.25 × 1,831,268.25
  4. Step 4: Simplify right side
    834,441.75x = 3,353,543,403,458.06
  5. Step 5: Solve for x
    x = 3,353,543,403,458.06/834,441.75
  6. Step 6: Final answer
    x = 4,018,906.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.