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Finding the Third Proportional to 1,305,696 and 2,768,208

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Solution

The third proportional to 1,305,696 and 2,768,208 is: 5,868,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,696 : 2,768,208 = 2,768,208 : x
  2. Step 2: Convert to fraction form
    1,305,696/2,768,208 = 2,768,208/x
  3. Step 3: Cross multiply
    1,305,696x = 2,768,208 × 2,768,208
  4. Step 4: Simplify right side
    1,305,696x = 7,662,975,531,264
  5. Step 5: Solve for x
    x = 7,662,975,531,264/1,305,696
  6. Step 6: Final answer
    x = 5,868,881.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.