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Finding the Third Proportional to 2,782,032 and 5,862,951

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Solution

The third proportional to 2,782,032 and 5,862,951 is: 12,355,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,032 : 5,862,951 = 5,862,951 : x
  2. Step 2: Convert to fraction form
    2,782,032/5,862,951 = 5,862,951/x
  3. Step 3: Cross multiply
    2,782,032x = 5,862,951 × 5,862,951
  4. Step 4: Simplify right side
    2,782,032x = 34,374,194,428,401
  5. Step 5: Solve for x
    x = 34,374,194,428,401/2,782,032
  6. Step 6: Final answer
    x = 12,355,786.86

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.