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Finding the Third Proportional to 1,836,320 and 3,977,568

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Solution

The third proportional to 1,836,320 and 3,977,568 is: 8,615,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,320 : 3,977,568 = 3,977,568 : x
  2. Step 2: Convert to fraction form
    1,836,320/3,977,568 = 3,977,568/x
  3. Step 3: Cross multiply
    1,836,320x = 3,977,568 × 3,977,568
  4. Step 4: Simplify right side
    1,836,320x = 15,821,047,194,624
  5. Step 5: Solve for x
    x = 15,821,047,194,624/1,836,320
  6. Step 6: Final answer
    x = 8,615,626.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.