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Finding the Third Proportional to 496,702 and 1,105,834

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Solution

The third proportional to 496,702 and 1,105,834 is: 2,461,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,702 : 1,105,834 = 1,105,834 : x
  2. Step 2: Convert to fraction form
    496,702/1,105,834 = 1,105,834/x
  3. Step 3: Cross multiply
    496,702x = 1,105,834 × 1,105,834
  4. Step 4: Simplify right side
    496,702x = 1,222,868,835,556
  5. Step 5: Solve for x
    x = 1,222,868,835,556/496,702
  6. Step 6: Final answer
    x = 2,461,976.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.