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Finding the Third Proportional to 431,210 and 929,812

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Solution

The third proportional to 431,210 and 929,812 is: 2,004,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,210 : 929,812 = 929,812 : x
  2. Step 2: Convert to fraction form
    431,210/929,812 = 929,812/x
  3. Step 3: Cross multiply
    431,210x = 929,812 × 929,812
  4. Step 4: Simplify right side
    431,210x = 864,550,355,344
  5. Step 5: Solve for x
    x = 864,550,355,344/431,210
  6. Step 6: Final answer
    x = 2,004,940.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.