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Finding the Third Proportional to 1,601,946 and 2,409,723

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Solution

The third proportional to 1,601,946 and 2,409,723 is: 3,624,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,946 : 2,409,723 = 2,409,723 : x
  2. Step 2: Convert to fraction form
    1,601,946/2,409,723 = 2,409,723/x
  3. Step 3: Cross multiply
    1,601,946x = 2,409,723 × 2,409,723
  4. Step 4: Simplify right side
    1,601,946x = 5,806,764,936,729
  5. Step 5: Solve for x
    x = 5,806,764,936,729/1,601,946
  6. Step 6: Final answer
    x = 3,624,819.40

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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.