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Finding the Third Proportional to 1,928,656 and 4,200,175

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Solution

The third proportional to 1,928,656 and 4,200,175 is: 9,147,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,656 : 4,200,175 = 4,200,175 : x
  2. Step 2: Convert to fraction form
    1,928,656/4,200,175 = 4,200,175/x
  3. Step 3: Cross multiply
    1,928,656x = 4,200,175 × 4,200,175
  4. Step 4: Simplify right side
    1,928,656x = 17,641,470,030,625
  5. Step 5: Solve for x
    x = 17,641,470,030,625/1,928,656
  6. Step 6: Final answer
    x = 9,147,027.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.