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Finding the Third Proportional to 1,251,495 and 2,738,214

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Solution

The third proportional to 1,251,495 and 2,738,214 is: 5,991,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,495 : 2,738,214 = 2,738,214 : x
  2. Step 2: Convert to fraction form
    1,251,495/2,738,214 = 2,738,214/x
  3. Step 3: Cross multiply
    1,251,495x = 2,738,214 × 2,738,214
  4. Step 4: Simplify right side
    1,251,495x = 7,497,815,909,796
  5. Step 5: Solve for x
    x = 7,497,815,909,796/1,251,495
  6. Step 6: Final answer
    x = 5,991,087.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.