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Finding the Third Proportional to 1,195,200 and 2,571,648

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Solution

The third proportional to 1,195,200 and 2,571,648 is: 5,533,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195,200 : 2,571,648 = 2,571,648 : x
  2. Step 2: Convert to fraction form
    1,195,200/2,571,648 = 2,571,648/x
  3. Step 3: Cross multiply
    1,195,200x = 2,571,648 × 2,571,648
  4. Step 4: Simplify right side
    1,195,200x = 6,613,373,435,904
  5. Step 5: Solve for x
    x = 6,613,373,435,904/1,195,200
  6. Step 6: Final answer
    x = 5,533,277.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.