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Finding the Third Proportional to 431,199 and 937,900

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Solution

The third proportional to 431,199 and 937,900 is: 2,040,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,199 : 937,900 = 937,900 : x
  2. Step 2: Convert to fraction form
    431,199/937,900 = 937,900/x
  3. Step 3: Cross multiply
    431,199x = 937,900 × 937,900
  4. Step 4: Simplify right side
    431,199x = 879,656,410,000
  5. Step 5: Solve for x
    x = 879,656,410,000/431,199
  6. Step 6: Final answer
    x = 2,040,024.23

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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.