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Finding the Third Proportional to 1,246,912 and 2,706,368

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Solution

The third proportional to 1,246,912 and 2,706,368 is: 5,874,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,912 : 2,706,368 = 2,706,368 : x
  2. Step 2: Convert to fraction form
    1,246,912/2,706,368 = 2,706,368/x
  3. Step 3: Cross multiply
    1,246,912x = 2,706,368 × 2,706,368
  4. Step 4: Simplify right side
    1,246,912x = 7,324,427,751,424
  5. Step 5: Solve for x
    x = 7,324,427,751,424/1,246,912
  6. Step 6: Final answer
    x = 5,874,053.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.