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Finding the Third Proportional to 617,880 and 1,338,519

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Solution

The third proportional to 617,880 and 1,338,519 is: 2,899,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,880 : 1,338,519 = 1,338,519 : x
  2. Step 2: Convert to fraction form
    617,880/1,338,519 = 1,338,519/x
  3. Step 3: Cross multiply
    617,880x = 1,338,519 × 1,338,519
  4. Step 4: Simplify right side
    617,880x = 1,791,633,113,361
  5. Step 5: Solve for x
    x = 1,791,633,113,361/617,880
  6. Step 6: Final answer
    x = 2,899,645.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.