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Finding the Third Proportional to 1,224,116 and 2,651,512

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Solution

The third proportional to 1,224,116 and 2,651,512 is: 5,743,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224,116 : 2,651,512 = 2,651,512 : x
  2. Step 2: Convert to fraction form
    1,224,116/2,651,512 = 2,651,512/x
  3. Step 3: Cross multiply
    1,224,116x = 2,651,512 × 2,651,512
  4. Step 4: Simplify right side
    1,224,116x = 7,030,515,886,144
  5. Step 5: Solve for x
    x = 7,030,515,886,144/1,224,116
  6. Step 6: Final answer
    x = 5,743,341.22

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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.