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Finding the Third Proportional to 839,182 and 1,265,756

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Solution

The third proportional to 839,182 and 1,265,756 is: 1,909,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,182 : 1,265,756 = 1,265,756 : x
  2. Step 2: Convert to fraction form
    839,182/1,265,756 = 1,265,756/x
  3. Step 3: Cross multiply
    839,182x = 1,265,756 × 1,265,756
  4. Step 4: Simplify right side
    839,182x = 1,602,138,251,536
  5. Step 5: Solve for x
    x = 1,602,138,251,536/839,182
  6. Step 6: Final answer
    x = 1,909,166.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.