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Finding the Third Proportional to 858,648 and 1,864,824

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Solution

The third proportional to 858,648 and 1,864,824 is: 4,050,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,648 : 1,864,824 = 1,864,824 : x
  2. Step 2: Convert to fraction form
    858,648/1,864,824 = 1,864,824/x
  3. Step 3: Cross multiply
    858,648x = 1,864,824 × 1,864,824
  4. Step 4: Simplify right side
    858,648x = 3,477,568,550,976
  5. Step 5: Solve for x
    x = 3,477,568,550,976/858,648
  6. Step 6: Final answer
    x = 4,050,051.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.