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Finding the Third Proportional to 535,928 and 1,115,961

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Solution

The third proportional to 535,928 and 1,115,961 is: 2,323,761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,928 : 1,115,961 = 1,115,961 : x
  2. Step 2: Convert to fraction form
    535,928/1,115,961 = 1,115,961/x
  3. Step 3: Cross multiply
    535,928x = 1,115,961 × 1,115,961
  4. Step 4: Simplify right side
    535,928x = 1,245,368,953,521
  5. Step 5: Solve for x
    x = 1,245,368,953,521/535,928
  6. Step 6: Final answer
    x = 2,323,761.69

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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.