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Finding the Third Proportional to 405,333 and 903,870

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Solution

The third proportional to 405,333 and 903,870 is: 2,015,579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,333 : 903,870 = 903,870 : x
  2. Step 2: Convert to fraction form
    405,333/903,870 = 903,870/x
  3. Step 3: Cross multiply
    405,333x = 903,870 × 903,870
  4. Step 4: Simplify right side
    405,333x = 816,980,976,900
  5. Step 5: Solve for x
    x = 816,980,976,900/405,333
  6. Step 6: Final answer
    x = 2,015,579.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.