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Finding the Third Proportional to 431,995 and 942,601

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Solution

The third proportional to 431,995 and 942,601 is: 2,056,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,995 : 942,601 = 942,601 : x
  2. Step 2: Convert to fraction form
    431,995/942,601 = 942,601/x
  3. Step 3: Cross multiply
    431,995x = 942,601 × 942,601
  4. Step 4: Simplify right side
    431,995x = 888,496,645,201
  5. Step 5: Solve for x
    x = 888,496,645,201/431,995
  6. Step 6: Final answer
    x = 2,056,729.00

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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.