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Finding the Third Proportional to 513,811 and 1,104,168

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Solution

The third proportional to 513,811 and 1,104,168 is: 2,372,831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,811 : 1,104,168 = 1,104,168 : x
  2. Step 2: Convert to fraction form
    513,811/1,104,168 = 1,104,168/x
  3. Step 3: Cross multiply
    513,811x = 1,104,168 × 1,104,168
  4. Step 4: Simplify right side
    513,811x = 1,219,186,972,224
  5. Step 5: Solve for x
    x = 1,219,186,972,224/513,811
  6. Step 6: Final answer
    x = 2,372,831.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.