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Finding the Third Proportional to 1,627,005.38 and 3,380,123.81

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Solution

The third proportional to 1,627,005.38 and 3,380,123.81 is: 7,022,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627,005.38 : 3,380,123.81 = 3,380,123.81 : x
  2. Step 2: Convert to fraction form
    1,627,005.38/3,380,123.81 = 3,380,123.81/x
  3. Step 3: Cross multiply
    1,627,005.38x = 3,380,123.81 × 3,380,123.81
  4. Step 4: Simplify right side
    1,627,005.38x = 11,425,236,987,829.54
  5. Step 5: Solve for x
    x = 11,425,236,987,829.54/1,627,005.38
  6. Step 6: Final answer
    x = 7,022,249.07

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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.