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Finding the Third Proportional to 2,140,999 and 2,916,172

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Solution

The third proportional to 2,140,999 and 2,916,172 is: 3,972,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,999 : 2,916,172 = 2,916,172 : x
  2. Step 2: Convert to fraction form
    2,140,999/2,916,172 = 2,916,172/x
  3. Step 3: Cross multiply
    2,140,999x = 2,916,172 × 2,916,172
  4. Step 4: Simplify right side
    2,140,999x = 8,504,059,133,584
  5. Step 5: Solve for x
    x = 8,504,059,133,584/2,140,999
  6. Step 6: Final answer
    x = 3,972,005.19

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.