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Finding the Third Proportional to 1,185,295 and 2,511,652

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Solution

The third proportional to 1,185,295 and 2,511,652 is: 5,322,215.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,295 : 2,511,652 = 2,511,652 : x
  2. Step 2: Convert to fraction form
    1,185,295/2,511,652 = 2,511,652/x
  3. Step 3: Cross multiply
    1,185,295x = 2,511,652 × 2,511,652
  4. Step 4: Simplify right side
    1,185,295x = 6,308,395,769,104
  5. Step 5: Solve for x
    x = 6,308,395,769,104/1,185,295
  6. Step 6: Final answer
    x = 5,322,215.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.