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Finding the Third Proportional to 856,318 and 1,865,200

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Solution

The third proportional to 856,318 and 1,865,200 is: 4,062,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,318 : 1,865,200 = 1,865,200 : x
  2. Step 2: Convert to fraction form
    856,318/1,865,200 = 1,865,200/x
  3. Step 3: Cross multiply
    856,318x = 1,865,200 × 1,865,200
  4. Step 4: Simplify right side
    856,318x = 3,478,971,040,000
  5. Step 5: Solve for x
    x = 3,478,971,040,000/856,318
  6. Step 6: Final answer
    x = 4,062,709.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.