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Finding the Third Proportional to 825,843 and 1,250,154

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Solution

The third proportional to 825,843 and 1,250,154 is: 1,892,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,843 : 1,250,154 = 1,250,154 : x
  2. Step 2: Convert to fraction form
    825,843/1,250,154 = 1,250,154/x
  3. Step 3: Cross multiply
    825,843x = 1,250,154 × 1,250,154
  4. Step 4: Simplify right side
    825,843x = 1,562,885,023,716
  5. Step 5: Solve for x
    x = 1,562,885,023,716/825,843
  6. Step 6: Final answer
    x = 1,892,472.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.