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Finding the Third Proportional to 763,856 and 1,590,449

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Solution

The third proportional to 763,856 and 1,590,449 is: 3,311,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,856 : 1,590,449 = 1,590,449 : x
  2. Step 2: Convert to fraction form
    763,856/1,590,449 = 1,590,449/x
  3. Step 3: Cross multiply
    763,856x = 1,590,449 × 1,590,449
  4. Step 4: Simplify right side
    763,856x = 2,529,528,021,601
  5. Step 5: Solve for x
    x = 2,529,528,021,601/763,856
  6. Step 6: Final answer
    x = 3,311,524.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.