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Finding the Third Proportional to 421,949 and 859,563

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Solution

The third proportional to 421,949 and 859,563 is: 1,751,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,949 : 859,563 = 859,563 : x
  2. Step 2: Convert to fraction form
    421,949/859,563 = 859,563/x
  3. Step 3: Cross multiply
    421,949x = 859,563 × 859,563
  4. Step 4: Simplify right side
    421,949x = 738,848,550,969
  5. Step 5: Solve for x
    x = 738,848,550,969/421,949
  6. Step 6: Final answer
    x = 1,751,037.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.