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Finding the Third Proportional to 796,530 and 1,261,879

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Solution

The third proportional to 796,530 and 1,261,879 is: 1,999,094.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,530 : 1,261,879 = 1,261,879 : x
  2. Step 2: Convert to fraction form
    796,530/1,261,879 = 1,261,879/x
  3. Step 3: Cross multiply
    796,530x = 1,261,879 × 1,261,879
  4. Step 4: Simplify right side
    796,530x = 1,592,338,610,641
  5. Step 5: Solve for x
    x = 1,592,338,610,641/796,530
  6. Step 6: Final answer
    x = 1,999,094.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.