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Finding the Third Proportional to 863,405 and 1,307,150

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Solution

The third proportional to 863,405 and 1,307,150 is: 1,978,956.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,405 : 1,307,150 = 1,307,150 : x
  2. Step 2: Convert to fraction form
    863,405/1,307,150 = 1,307,150/x
  3. Step 3: Cross multiply
    863,405x = 1,307,150 × 1,307,150
  4. Step 4: Simplify right side
    863,405x = 1,708,641,122,500
  5. Step 5: Solve for x
    x = 1,708,641,122,500/863,405
  6. Step 6: Final answer
    x = 1,978,956.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.