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Finding the Third Proportional to 773,939 and 1,195,933

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Solution

The third proportional to 773,939 and 1,195,933 is: 1,848,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,939 : 1,195,933 = 1,195,933 : x
  2. Step 2: Convert to fraction form
    773,939/1,195,933 = 1,195,933/x
  3. Step 3: Cross multiply
    773,939x = 1,195,933 × 1,195,933
  4. Step 4: Simplify right side
    773,939x = 1,430,255,740,489
  5. Step 5: Solve for x
    x = 1,430,255,740,489/773,939
  6. Step 6: Final answer
    x = 1,848,021.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.