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Finding the Third Proportional to 2,095,972 and 4,269,021

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Solution

The third proportional to 2,095,972 and 4,269,021 is: 8,695,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,972 : 4,269,021 = 4,269,021 : x
  2. Step 2: Convert to fraction form
    2,095,972/4,269,021 = 4,269,021/x
  3. Step 3: Cross multiply
    2,095,972x = 4,269,021 × 4,269,021
  4. Step 4: Simplify right side
    2,095,972x = 18,224,540,298,441
  5. Step 5: Solve for x
    x = 18,224,540,298,441/2,095,972
  6. Step 6: Final answer
    x = 8,695,030.42

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.