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Finding the Third Proportional to 1,335,648 and 3,149,736

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Solution

The third proportional to 1,335,648 and 3,149,736 is: 7,427,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,648 : 3,149,736 = 3,149,736 : x
  2. Step 2: Convert to fraction form
    1,335,648/3,149,736 = 3,149,736/x
  3. Step 3: Cross multiply
    1,335,648x = 3,149,736 × 3,149,736
  4. Step 4: Simplify right side
    1,335,648x = 9,920,836,869,696
  5. Step 5: Solve for x
    x = 9,920,836,869,696/1,335,648
  6. Step 6: Final answer
    x = 7,427,733.11

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.