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Finding the Third Proportional to 2,096,811 and 4,593,819

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Solution

The third proportional to 2,096,811 and 4,593,819 is: 10,064,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,811 : 4,593,819 = 4,593,819 : x
  2. Step 2: Convert to fraction form
    2,096,811/4,593,819 = 4,593,819/x
  3. Step 3: Cross multiply
    2,096,811x = 4,593,819 × 4,593,819
  4. Step 4: Simplify right side
    2,096,811x = 21,103,173,004,761
  5. Step 5: Solve for x
    x = 21,103,173,004,761/2,096,811
  6. Step 6: Final answer
    x = 10,064,413.53

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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.