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Finding the Third Proportional to 1,238,214 and 2,709,732

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Solution

The third proportional to 1,238,214 and 2,709,732 is: 5,930,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,214 : 2,709,732 = 2,709,732 : x
  2. Step 2: Convert to fraction form
    1,238,214/2,709,732 = 2,709,732/x
  3. Step 3: Cross multiply
    1,238,214x = 2,709,732 × 2,709,732
  4. Step 4: Simplify right side
    1,238,214x = 7,342,647,511,824
  5. Step 5: Solve for x
    x = 7,342,647,511,824/1,238,214
  6. Step 6: Final answer
    x = 5,930,031.09

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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.