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Finding the Third Proportional to 843,092 and 1,285,644

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Solution

The third proportional to 843,092 and 1,285,644 is: 1,960,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,092 : 1,285,644 = 1,285,644 : x
  2. Step 2: Convert to fraction form
    843,092/1,285,644 = 1,285,644/x
  3. Step 3: Cross multiply
    843,092x = 1,285,644 × 1,285,644
  4. Step 4: Simplify right side
    843,092x = 1,652,880,494,736
  5. Step 5: Solve for x
    x = 1,652,880,494,736/843,092
  6. Step 6: Final answer
    x = 1,960,498.37

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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.