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Finding the Third Proportional to 2,776,424 and 4,199,601

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Solution

The third proportional to 2,776,424 and 4,199,601 is: 6,352,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776,424 : 4,199,601 = 4,199,601 : x
  2. Step 2: Convert to fraction form
    2,776,424/4,199,601 = 4,199,601/x
  3. Step 3: Cross multiply
    2,776,424x = 4,199,601 × 4,199,601
  4. Step 4: Simplify right side
    2,776,424x = 17,636,648,559,201
  5. Step 5: Solve for x
    x = 17,636,648,559,201/2,776,424
  6. Step 6: Final answer
    x = 6,352,289.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.