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Finding the Third Proportional to 422,599.50 and 916,857

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Solution

The third proportional to 422,599.50 and 916,857 is: 1,989,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,599.50 : 916,857 = 916,857 : x
  2. Step 2: Convert to fraction form
    422,599.50/916,857 = 916,857/x
  3. Step 3: Cross multiply
    422,599.50x = 916,857 × 916,857
  4. Step 4: Simplify right side
    422,599.50x = 840,626,758,449
  5. Step 5: Solve for x
    x = 840,626,758,449/422,599.50
  6. Step 6: Final answer
    x = 1,989,180.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.