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Finding the Third Proportional to 1,668,032 and 3,641,923

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Solution

The third proportional to 1,668,032 and 3,641,923 is: 7,951,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,032 : 3,641,923 = 3,641,923 : x
  2. Step 2: Convert to fraction form
    1,668,032/3,641,923 = 3,641,923/x
  3. Step 3: Cross multiply
    1,668,032x = 3,641,923 × 3,641,923
  4. Step 4: Simplify right side
    1,668,032x = 13,263,603,137,929
  5. Step 5: Solve for x
    x = 13,263,603,137,929/1,668,032
  6. Step 6: Final answer
    x = 7,951,647.89

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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.