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Finding the Third Proportional to 1,301,706 and 2,002,120

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Solution

The third proportional to 1,301,706 and 2,002,120 is: 3,079,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,706 : 2,002,120 = 2,002,120 : x
  2. Step 2: Convert to fraction form
    1,301,706/2,002,120 = 2,002,120/x
  3. Step 3: Cross multiply
    1,301,706x = 2,002,120 × 2,002,120
  4. Step 4: Simplify right side
    1,301,706x = 4,008,484,494,400
  5. Step 5: Solve for x
    x = 4,008,484,494,400/1,301,706
  6. Step 6: Final answer
    x = 3,079,408.48

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.