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Finding the Third Proportional to 976,530 and 1,511,901

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Solution

The third proportional to 976,530 and 1,511,901 is: 2,340,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,530 : 1,511,901 = 1,511,901 : x
  2. Step 2: Convert to fraction form
    976,530/1,511,901 = 1,511,901/x
  3. Step 3: Cross multiply
    976,530x = 1,511,901 × 1,511,901
  4. Step 4: Simplify right side
    976,530x = 2,285,844,633,801
  5. Step 5: Solve for x
    x = 2,285,844,633,801/976,530
  6. Step 6: Final answer
    x = 2,340,782.81

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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.