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Finding the Third Proportional to 422,364.94 and 874,670.06

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Solution

The third proportional to 422,364.94 and 874,670.06 is: 1,811,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,364.94 : 874,670.06 = 874,670.06 : x
  2. Step 2: Convert to fraction form
    422,364.94/874,670.06 = 874,670.06/x
  3. Step 3: Cross multiply
    422,364.94x = 874,670.06 × 874,670.06
  4. Step 4: Simplify right side
    422,364.94x = 765,047,718,233.75
  5. Step 5: Solve for x
    x = 765,047,718,233.75/422,364.94
  6. Step 6: Final answer
    x = 1,811,342.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.