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Finding the Third Proportional to 950,296 and 1,916,144

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Solution

The third proportional to 950,296 and 1,916,144 is: 3,863,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,296 : 1,916,144 = 1,916,144 : x
  2. Step 2: Convert to fraction form
    950,296/1,916,144 = 1,916,144/x
  3. Step 3: Cross multiply
    950,296x = 1,916,144 × 1,916,144
  4. Step 4: Simplify right side
    950,296x = 3,671,607,828,736
  5. Step 5: Solve for x
    x = 3,671,607,828,736/950,296
  6. Step 6: Final answer
    x = 3,863,646.52

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.