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Finding the Third Proportional to 422,052 and 859,716

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Solution

The third proportional to 422,052 and 859,716 is: 1,751,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,052 : 859,716 = 859,716 : x
  2. Step 2: Convert to fraction form
    422,052/859,716 = 859,716/x
  3. Step 3: Cross multiply
    422,052x = 859,716 × 859,716
  4. Step 4: Simplify right side
    422,052x = 739,111,600,656
  5. Step 5: Solve for x
    x = 739,111,600,656/422,052
  6. Step 6: Final answer
    x = 1,751,233.50

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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.