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Finding the Third Proportional to 1,142,768.25 and 2,380,120.45

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Solution

The third proportional to 1,142,768.25 and 2,380,120.45 is: 4,957,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,768.25 : 2,380,120.45 = 2,380,120.45 : x
  2. Step 2: Convert to fraction form
    1,142,768.25/2,380,120.45 = 2,380,120.45/x
  3. Step 3: Cross multiply
    1,142,768.25x = 2,380,120.45 × 2,380,120.45
  4. Step 4: Simplify right side
    1,142,768.25x = 5,664,973,371,383.96
  5. Step 5: Solve for x
    x = 5,664,973,371,383.96/1,142,768.25
  6. Step 6: Final answer
    x = 4,957,237.28

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.