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Finding the Third Proportional to 839,193 and 1,265,757

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Solution

The third proportional to 839,193 and 1,265,757 is: 1,909,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,193 : 1,265,757 = 1,265,757 : x
  2. Step 2: Convert to fraction form
    839,193/1,265,757 = 1,265,757/x
  3. Step 3: Cross multiply
    839,193x = 1,265,757 × 1,265,757
  4. Step 4: Simplify right side
    839,193x = 1,602,140,783,049
  5. Step 5: Solve for x
    x = 1,602,140,783,049/839,193
  6. Step 6: Final answer
    x = 1,909,144.60

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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.