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Finding the Third Proportional to 947,328 and 2,035,200

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Solution

The third proportional to 947,328 and 2,035,200 is: 4,372,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,328 : 2,035,200 = 2,035,200 : x
  2. Step 2: Convert to fraction form
    947,328/2,035,200 = 2,035,200/x
  3. Step 3: Cross multiply
    947,328x = 2,035,200 × 2,035,200
  4. Step 4: Simplify right side
    947,328x = 4,142,039,040,000
  5. Step 5: Solve for x
    x = 4,142,039,040,000/947,328
  6. Step 6: Final answer
    x = 4,372,338.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.