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Finding the Third Proportional to 897,206 and 1,968,794

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Solution

The third proportional to 897,206 and 1,968,794 is: 4,320,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,206 : 1,968,794 = 1,968,794 : x
  2. Step 2: Convert to fraction form
    897,206/1,968,794 = 1,968,794/x
  3. Step 3: Cross multiply
    897,206x = 1,968,794 × 1,968,794
  4. Step 4: Simplify right side
    897,206x = 3,876,149,814,436
  5. Step 5: Solve for x
    x = 3,876,149,814,436/897,206
  6. Step 6: Final answer
    x = 4,320,245.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.