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Finding the Third Proportional to 863,170 and 1,306,749

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Solution

The third proportional to 863,170 and 1,306,749 is: 1,978,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,170 : 1,306,749 = 1,306,749 : x
  2. Step 2: Convert to fraction form
    863,170/1,306,749 = 1,306,749/x
  3. Step 3: Cross multiply
    863,170x = 1,306,749 × 1,306,749
  4. Step 4: Simplify right side
    863,170x = 1,707,592,949,001
  5. Step 5: Solve for x
    x = 1,707,592,949,001/863,170
  6. Step 6: Final answer
    x = 1,978,281.16

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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.