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Finding the Third Proportional to 3,831,669 and 5,763,501

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Solution

The third proportional to 3,831,669 and 5,763,501 is: 8,669,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831,669 : 5,763,501 = 5,763,501 : x
  2. Step 2: Convert to fraction form
    3,831,669/5,763,501 = 5,763,501/x
  3. Step 3: Cross multiply
    3,831,669x = 5,763,501 × 5,763,501
  4. Step 4: Simplify right side
    3,831,669x = 33,217,943,777,001
  5. Step 5: Solve for x
    x = 33,217,943,777,001/3,831,669
  6. Step 6: Final answer
    x = 8,669,314.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.