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Finding the Third Proportional to 431,424 and 945,792

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Solution

The third proportional to 431,424 and 945,792 is: 2,073,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,424 : 945,792 = 945,792 : x
  2. Step 2: Convert to fraction form
    431,424/945,792 = 945,792/x
  3. Step 3: Cross multiply
    431,424x = 945,792 × 945,792
  4. Step 4: Simplify right side
    431,424x = 894,522,507,264
  5. Step 5: Solve for x
    x = 894,522,507,264/431,424
  6. Step 6: Final answer
    x = 2,073,418.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.