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Finding the Third Proportional to 1,192,992 and 1,806,853

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Solution

The third proportional to 1,192,992 and 1,806,853 is: 2,736,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192,992 : 1,806,853 = 1,806,853 : x
  2. Step 2: Convert to fraction form
    1,192,992/1,806,853 = 1,806,853/x
  3. Step 3: Cross multiply
    1,192,992x = 1,806,853 × 1,806,853
  4. Step 4: Simplify right side
    1,192,992x = 3,264,717,763,609
  5. Step 5: Solve for x
    x = 3,264,717,763,609/1,192,992
  6. Step 6: Final answer
    x = 2,736,579.76

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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.