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Finding the Third Proportional to 843,096 and 1,285,652

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Solution

The third proportional to 843,096 and 1,285,652 is: 1,960,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,096 : 1,285,652 = 1,285,652 : x
  2. Step 2: Convert to fraction form
    843,096/1,285,652 = 1,285,652/x
  3. Step 3: Cross multiply
    843,096x = 1,285,652 × 1,285,652
  4. Step 4: Simplify right side
    843,096x = 1,652,901,065,104
  5. Step 5: Solve for x
    x = 1,652,901,065,104/843,096
  6. Step 6: Final answer
    x = 1,960,513.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.