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Finding the Third Proportional to 467,811 and 967,710

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Solution

The third proportional to 467,811 and 967,710 is: 2,001,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,811 : 967,710 = 967,710 : x
  2. Step 2: Convert to fraction form
    467,811/967,710 = 967,710/x
  3. Step 3: Cross multiply
    467,811x = 967,710 × 967,710
  4. Step 4: Simplify right side
    467,811x = 936,462,644,100
  5. Step 5: Solve for x
    x = 936,462,644,100/467,811
  6. Step 6: Final answer
    x = 2,001,796.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.