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Finding the Third Proportional to 884,849 and 978,343

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Solution

The third proportional to 884,849 and 978,343 is: 1,081,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,849 : 978,343 = 978,343 : x
  2. Step 2: Convert to fraction form
    884,849/978,343 = 978,343/x
  3. Step 3: Cross multiply
    884,849x = 978,343 × 978,343
  4. Step 4: Simplify right side
    884,849x = 957,155,025,649
  5. Step 5: Solve for x
    x = 957,155,025,649/884,849
  6. Step 6: Final answer
    x = 1,081,715.67

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.