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Finding the Third Proportional to 2,065,194 and 2,903,112

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Solution

The third proportional to 2,065,194 and 2,903,112 is: 4,081,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,194 : 2,903,112 = 2,903,112 : x
  2. Step 2: Convert to fraction form
    2,065,194/2,903,112 = 2,903,112/x
  3. Step 3: Cross multiply
    2,065,194x = 2,903,112 × 2,903,112
  4. Step 4: Simplify right side
    2,065,194x = 8,428,059,284,544
  5. Step 5: Solve for x
    x = 8,428,059,284,544/2,065,194
  6. Step 6: Final answer
    x = 4,081,001.24

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.