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Finding the Third Proportional to 2,840,922 and 3,827,619

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Solution

The third proportional to 2,840,922 and 3,827,619 is: 5,157,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840,922 : 3,827,619 = 3,827,619 : x
  2. Step 2: Convert to fraction form
    2,840,922/3,827,619 = 3,827,619/x
  3. Step 3: Cross multiply
    2,840,922x = 3,827,619 × 3,827,619
  4. Step 4: Simplify right side
    2,840,922x = 14,650,667,209,161
  5. Step 5: Solve for x
    x = 14,650,667,209,161/2,840,922
  6. Step 6: Final answer
    x = 5,157,011.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.