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Finding the Third Proportional to 1,538,085 and 3,312,825

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Solution

The third proportional to 1,538,085 and 3,312,825 is: 7,135,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,085 : 3,312,825 = 3,312,825 : x
  2. Step 2: Convert to fraction form
    1,538,085/3,312,825 = 3,312,825/x
  3. Step 3: Cross multiply
    1,538,085x = 3,312,825 × 3,312,825
  4. Step 4: Simplify right side
    1,538,085x = 10,974,809,480,625
  5. Step 5: Solve for x
    x = 10,974,809,480,625/1,538,085
  6. Step 6: Final answer
    x = 7,135,372.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.