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Finding the Third Proportional to 1,407,019 and 2,863,720

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Solution

The third proportional to 1,407,019 and 2,863,720 is: 5,828,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,019 : 2,863,720 = 2,863,720 : x
  2. Step 2: Convert to fraction form
    1,407,019/2,863,720 = 2,863,720/x
  3. Step 3: Cross multiply
    1,407,019x = 2,863,720 × 2,863,720
  4. Step 4: Simplify right side
    1,407,019x = 8,200,892,238,400
  5. Step 5: Solve for x
    x = 8,200,892,238,400/1,407,019
  6. Step 6: Final answer
    x = 5,828,558.28

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.