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Finding the Third Proportional to 1,175,928.25 and 2,493,157

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Solution

The third proportional to 1,175,928.25 and 2,493,157 is: 5,285,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175,928.25 : 2,493,157 = 2,493,157 : x
  2. Step 2: Convert to fraction form
    1,175,928.25/2,493,157 = 2,493,157/x
  3. Step 3: Cross multiply
    1,175,928.25x = 2,493,157 × 2,493,157
  4. Step 4: Simplify right side
    1,175,928.25x = 6,215,831,826,649
  5. Step 5: Solve for x
    x = 6,215,831,826,649/1,175,928.25
  6. Step 6: Final answer
    x = 5,285,893.78

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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.