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Finding the Third Proportional to 863,158 and 1,306,734

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Solution

The third proportional to 863,158 and 1,306,734 is: 1,978,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,158 : 1,306,734 = 1,306,734 : x
  2. Step 2: Convert to fraction form
    863,158/1,306,734 = 1,306,734/x
  3. Step 3: Cross multiply
    863,158x = 1,306,734 × 1,306,734
  4. Step 4: Simplify right side
    863,158x = 1,707,553,746,756
  5. Step 5: Solve for x
    x = 1,707,553,746,756/863,158
  6. Step 6: Final answer
    x = 1,978,263.25

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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.