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Finding the Third Proportional to 839,198 and 1,265,764

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Solution

The third proportional to 839,198 and 1,265,764 is: 1,909,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,198 : 1,265,764 = 1,265,764 : x
  2. Step 2: Convert to fraction form
    839,198/1,265,764 = 1,265,764/x
  3. Step 3: Cross multiply
    839,198x = 1,265,764 × 1,265,764
  4. Step 4: Simplify right side
    839,198x = 1,602,158,503,696
  5. Step 5: Solve for x
    x = 1,602,158,503,696/839,198
  6. Step 6: Final answer
    x = 1,909,154.34

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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.