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Finding the Third Proportional to 970,196 and 2,040,927

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Solution

The third proportional to 970,196 and 2,040,927 is: 4,293,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,196 : 2,040,927 = 2,040,927 : x
  2. Step 2: Convert to fraction form
    970,196/2,040,927 = 2,040,927/x
  3. Step 3: Cross multiply
    970,196x = 2,040,927 × 2,040,927
  4. Step 4: Simplify right side
    970,196x = 4,165,383,019,329
  5. Step 5: Solve for x
    x = 4,165,383,019,329/970,196
  6. Step 6: Final answer
    x = 4,293,341.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.