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Finding the Third Proportional to 945,268 and 2,074,212

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Solution

The third proportional to 945,268 and 2,074,212 is: 4,551,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,268 : 2,074,212 = 2,074,212 : x
  2. Step 2: Convert to fraction form
    945,268/2,074,212 = 2,074,212/x
  3. Step 3: Cross multiply
    945,268x = 2,074,212 × 2,074,212
  4. Step 4: Simplify right side
    945,268x = 4,302,355,420,944
  5. Step 5: Solve for x
    x = 4,302,355,420,944/945,268
  6. Step 6: Final answer
    x = 4,551,466.27

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