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Finding the Third Proportional to 1,101,998 and 1,669,634

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Solution

The third proportional to 1,101,998 and 1,669,634 is: 2,529,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,998 : 1,669,634 = 1,669,634 : x
  2. Step 2: Convert to fraction form
    1,101,998/1,669,634 = 1,669,634/x
  3. Step 3: Cross multiply
    1,101,998x = 1,669,634 × 1,669,634
  4. Step 4: Simplify right side
    1,101,998x = 2,787,677,693,956
  5. Step 5: Solve for x
    x = 2,787,677,693,956/1,101,998
  6. Step 6: Final answer
    x = 2,529,657.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.