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Finding the Third Proportional to 1,968,057 and 3,213,659.81

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Solution

The third proportional to 1,968,057 and 3,213,659.81 is: 5,247,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,057 : 3,213,659.81 = 3,213,659.81 : x
  2. Step 2: Convert to fraction form
    1,968,057/3,213,659.81 = 3,213,659.81/x
  3. Step 3: Cross multiply
    1,968,057x = 3,213,659.81 × 3,213,659.81
  4. Step 4: Simplify right side
    1,968,057x = 10,327,609,390,477.54
  5. Step 5: Solve for x
    x = 10,327,609,390,477.54/1,968,057
  6. Step 6: Final answer
    x = 5,247,617.01

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.