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Finding the Third Proportional to 467,921.81 and 958,009.69

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Solution

The third proportional to 467,921.81 and 958,009.69 is: 1,961,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,921.81 : 958,009.69 = 958,009.69 : x
  2. Step 2: Convert to fraction form
    467,921.81/958,009.69 = 958,009.69/x
  3. Step 3: Cross multiply
    467,921.81x = 958,009.69 × 958,009.69
  4. Step 4: Simplify right side
    467,921.81x = 917,782,561,343.85
  5. Step 5: Solve for x
    x = 917,782,561,343.85/467,921.81
  6. Step 6: Final answer
    x = 1,961,401.54

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.