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Finding the Third Proportional to 2,538,170 and 3,480,519

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Solution

The third proportional to 2,538,170 and 3,480,519 is: 4,772,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538,170 : 3,480,519 = 3,480,519 : x
  2. Step 2: Convert to fraction form
    2,538,170/3,480,519 = 3,480,519/x
  3. Step 3: Cross multiply
    2,538,170x = 3,480,519 × 3,480,519
  4. Step 4: Simplify right side
    2,538,170x = 12,114,012,509,361
  5. Step 5: Solve for x
    x = 12,114,012,509,361/2,538,170
  6. Step 6: Final answer
    x = 4,772,734.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.