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Finding the Third Proportional to 1,780,611 and 3,831,219

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Solution

The third proportional to 1,780,611 and 3,831,219 is: 8,243,372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,611 : 3,831,219 = 3,831,219 : x
  2. Step 2: Convert to fraction form
    1,780,611/3,831,219 = 3,831,219/x
  3. Step 3: Cross multiply
    1,780,611x = 3,831,219 × 3,831,219
  4. Step 4: Simplify right side
    1,780,611x = 14,678,239,025,961
  5. Step 5: Solve for x
    x = 14,678,239,025,961/1,780,611
  6. Step 6: Final answer
    x = 8,243,372.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.