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Finding the Third Proportional to 1,241,824 and 2,716,116

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Solution

The third proportional to 1,241,824 and 2,716,116 is: 5,940,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,824 : 2,716,116 = 2,716,116 : x
  2. Step 2: Convert to fraction form
    1,241,824/2,716,116 = 2,716,116/x
  3. Step 3: Cross multiply
    1,241,824x = 2,716,116 × 2,716,116
  4. Step 4: Simplify right side
    1,241,824x = 7,377,286,125,456
  5. Step 5: Solve for x
    x = 7,377,286,125,456/1,241,824
  6. Step 6: Final answer
    x = 5,940,685.74

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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.