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Finding the Third Proportional to 1,121,664 and 2,467,616.50

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Solution

The third proportional to 1,121,664 and 2,467,616.50 is: 5,428,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,664 : 2,467,616.50 = 2,467,616.50 : x
  2. Step 2: Convert to fraction form
    1,121,664/2,467,616.50 = 2,467,616.50/x
  3. Step 3: Cross multiply
    1,121,664x = 2,467,616.50 × 2,467,616.50
  4. Step 4: Simplify right side
    1,121,664x = 6,089,131,191,072.25
  5. Step 5: Solve for x
    x = 6,089,131,191,072.25/1,121,664
  6. Step 6: Final answer
    x = 5,428,658.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.