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Finding the Third Proportional to 825,722 and 1,276,158

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Solution

The third proportional to 825,722 and 1,276,158 is: 1,972,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,722 : 1,276,158 = 1,276,158 : x
  2. Step 2: Convert to fraction form
    825,722/1,276,158 = 1,276,158/x
  3. Step 3: Cross multiply
    825,722x = 1,276,158 × 1,276,158
  4. Step 4: Simplify right side
    825,722x = 1,628,579,240,964
  5. Step 5: Solve for x
    x = 1,628,579,240,964/825,722
  6. Step 6: Final answer
    x = 1,972,309.37

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