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Finding the Third Proportional to 1,185,293.25 and 2,511,648

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Solution

The third proportional to 1,185,293.25 and 2,511,648 is: 5,322,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,293.25 : 2,511,648 = 2,511,648 : x
  2. Step 2: Convert to fraction form
    1,185,293.25/2,511,648 = 2,511,648/x
  3. Step 3: Cross multiply
    1,185,293.25x = 2,511,648 × 2,511,648
  4. Step 4: Simplify right side
    1,185,293.25x = 6,308,375,675,904
  5. Step 5: Solve for x
    x = 6,308,375,675,904/1,185,293.25
  6. Step 6: Final answer
    x = 5,322,206.70

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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.