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Finding the Third Proportional to 1,110,224 and 2,619,968

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Solution

The third proportional to 1,110,224 and 2,619,968 is: 6,182,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110,224 : 2,619,968 = 2,619,968 : x
  2. Step 2: Convert to fraction form
    1,110,224/2,619,968 = 2,619,968/x
  3. Step 3: Cross multiply
    1,110,224x = 2,619,968 × 2,619,968
  4. Step 4: Simplify right side
    1,110,224x = 6,864,232,321,024
  5. Step 5: Solve for x
    x = 6,864,232,321,024/1,110,224
  6. Step 6: Final answer
    x = 6,182,745.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.