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Finding the Third Proportional to 2,675,862 and 3,814,500

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Solution

The third proportional to 2,675,862 and 3,814,500 is: 5,437,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,862 : 3,814,500 = 3,814,500 : x
  2. Step 2: Convert to fraction form
    2,675,862/3,814,500 = 3,814,500/x
  3. Step 3: Cross multiply
    2,675,862x = 3,814,500 × 3,814,500
  4. Step 4: Simplify right side
    2,675,862x = 14,550,410,250,000
  5. Step 5: Solve for x
    x = 14,550,410,250,000/2,675,862
  6. Step 6: Final answer
    x = 5,437,653.46

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.