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Finding the Third Proportional to 1,238,216 and 2,709,736

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Solution

The third proportional to 1,238,216 and 2,709,736 is: 5,930,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,216 : 2,709,736 = 2,709,736 : x
  2. Step 2: Convert to fraction form
    1,238,216/2,709,736 = 2,709,736/x
  3. Step 3: Cross multiply
    1,238,216x = 2,709,736 × 2,709,736
  4. Step 4: Simplify right side
    1,238,216x = 7,342,669,189,696
  5. Step 5: Solve for x
    x = 7,342,669,189,696/1,238,216
  6. Step 6: Final answer
    x = 5,930,039.02

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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.