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Finding the Third Proportional to 610,638 and 1,322,922

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Solution

The third proportional to 610,638 and 1,322,922 is: 2,866,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,638 : 1,322,922 = 1,322,922 : x
  2. Step 2: Convert to fraction form
    610,638/1,322,922 = 1,322,922/x
  3. Step 3: Cross multiply
    610,638x = 1,322,922 × 1,322,922
  4. Step 4: Simplify right side
    610,638x = 1,750,122,618,084
  5. Step 5: Solve for x
    x = 1,750,122,618,084/610,638
  6. Step 6: Final answer
    x = 2,866,055.86

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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.