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Finding the Third Proportional to 825,774 and 1,276,230

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Solution

The third proportional to 825,774 and 1,276,230 is: 1,972,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,774 : 1,276,230 = 1,276,230 : x
  2. Step 2: Convert to fraction form
    825,774/1,276,230 = 1,276,230/x
  3. Step 3: Cross multiply
    825,774x = 1,276,230 × 1,276,230
  4. Step 4: Simplify right side
    825,774x = 1,628,763,012,900
  5. Step 5: Solve for x
    x = 1,628,763,012,900/825,774
  6. Step 6: Final answer
    x = 1,972,407.72

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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.