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Finding the Third Proportional to 433,941 and 940,054

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Solution

The third proportional to 433,941 and 940,054 is: 2,036,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,941 : 940,054 = 940,054 : x
  2. Step 2: Convert to fraction form
    433,941/940,054 = 940,054/x
  3. Step 3: Cross multiply
    433,941x = 940,054 × 940,054
  4. Step 4: Simplify right side
    433,941x = 883,701,522,916
  5. Step 5: Solve for x
    x = 883,701,522,916/433,941
  6. Step 6: Final answer
    x = 2,036,455.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.