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Finding the Third Proportional to 863,194 and 1,306,786

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Solution

The third proportional to 863,194 and 1,306,786 is: 1,978,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,194 : 1,306,786 = 1,306,786 : x
  2. Step 2: Convert to fraction form
    863,194/1,306,786 = 1,306,786/x
  3. Step 3: Cross multiply
    863,194x = 1,306,786 × 1,306,786
  4. Step 4: Simplify right side
    863,194x = 1,707,689,649,796
  5. Step 5: Solve for x
    x = 1,707,689,649,796/863,194
  6. Step 6: Final answer
    x = 1,978,338.18

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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.