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Finding the Third Proportional to 843,874 and 1,265,905

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Solution

The third proportional to 843,874 and 1,265,905 is: 1,898,998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,874 : 1,265,905 = 1,265,905 : x
  2. Step 2: Convert to fraction form
    843,874/1,265,905 = 1,265,905/x
  3. Step 3: Cross multiply
    843,874x = 1,265,905 × 1,265,905
  4. Step 4: Simplify right side
    843,874x = 1,602,515,469,025
  5. Step 5: Solve for x
    x = 1,602,515,469,025/843,874
  6. Step 6: Final answer
    x = 1,898,998.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.