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Finding the Third Proportional to 1,774,728 and 2,661,224

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Solution

The third proportional to 1,774,728 and 2,661,224 is: 3,990,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774,728 : 2,661,224 = 2,661,224 : x
  2. Step 2: Convert to fraction form
    1,774,728/2,661,224 = 2,661,224/x
  3. Step 3: Cross multiply
    1,774,728x = 2,661,224 × 2,661,224
  4. Step 4: Simplify right side
    1,774,728x = 7,082,113,178,176
  5. Step 5: Solve for x
    x = 7,082,113,178,176/1,774,728
  6. Step 6: Final answer
    x = 3,990,534.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.