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Finding the Third Proportional to 434,081 and 940,333

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Solution

The third proportional to 434,081 and 940,333 is: 2,037,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,081 : 940,333 = 940,333 : x
  2. Step 2: Convert to fraction form
    434,081/940,333 = 940,333/x
  3. Step 3: Cross multiply
    434,081x = 940,333 × 940,333
  4. Step 4: Simplify right side
    434,081x = 884,226,150,889
  5. Step 5: Solve for x
    x = 884,226,150,889/434,081
  6. Step 6: Final answer
    x = 2,037,007.27

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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.