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Finding the Third Proportional to 431,200 and 937,902

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Solution

The third proportional to 431,200 and 937,902 is: 2,040,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,200 : 937,902 = 937,902 : x
  2. Step 2: Convert to fraction form
    431,200/937,902 = 937,902/x
  3. Step 3: Cross multiply
    431,200x = 937,902 × 937,902
  4. Step 4: Simplify right side
    431,200x = 879,660,161,604
  5. Step 5: Solve for x
    x = 879,660,161,604/431,200
  6. Step 6: Final answer
    x = 2,040,028.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.