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Finding the Third Proportional to 1,102,992 and 1,769,664

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Solution

The third proportional to 1,102,992 and 1,769,664 is: 2,839,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,992 : 1,769,664 = 1,769,664 : x
  2. Step 2: Convert to fraction form
    1,102,992/1,769,664 = 1,769,664/x
  3. Step 3: Cross multiply
    1,102,992x = 1,769,664 × 1,769,664
  4. Step 4: Simplify right side
    1,102,992x = 3,131,710,672,896
  5. Step 5: Solve for x
    x = 3,131,710,672,896/1,102,992
  6. Step 6: Final answer
    x = 2,839,286.84

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.