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Finding the Third Proportional to 863,182 and 1,306,764

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Solution

The third proportional to 863,182 and 1,306,764 is: 1,978,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,182 : 1,306,764 = 1,306,764 : x
  2. Step 2: Convert to fraction form
    863,182/1,306,764 = 1,306,764/x
  3. Step 3: Cross multiply
    863,182x = 1,306,764 × 1,306,764
  4. Step 4: Simplify right side
    863,182x = 1,707,632,151,696
  5. Step 5: Solve for x
    x = 1,707,632,151,696/863,182
  6. Step 6: Final answer
    x = 1,978,299.07

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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.