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Finding the Third Proportional to 422,853.75 and 887,225.06

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Solution

The third proportional to 422,853.75 and 887,225.06 is: 1,861,561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,853.75 : 887,225.06 = 887,225.06 : x
  2. Step 2: Convert to fraction form
    422,853.75/887,225.06 = 887,225.06/x
  3. Step 3: Cross multiply
    422,853.75x = 887,225.06 × 887,225.06
  4. Step 4: Simplify right side
    422,853.75x = 787,168,311,528.13
  5. Step 5: Solve for x
    x = 787,168,311,528.13/422,853.75
  6. Step 6: Final answer
    x = 1,861,561.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.