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Finding the Third Proportional to 863,164 and 1,306,743

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Solution

The third proportional to 863,164 and 1,306,743 is: 1,978,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,164 : 1,306,743 = 1,306,743 : x
  2. Step 2: Convert to fraction form
    863,164/1,306,743 = 1,306,743/x
  3. Step 3: Cross multiply
    863,164x = 1,306,743 × 1,306,743
  4. Step 4: Simplify right side
    863,164x = 1,707,577,268,049
  5. Step 5: Solve for x
    x = 1,707,577,268,049/863,164
  6. Step 6: Final answer
    x = 1,978,276.74

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Why These Related Problems?

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