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Finding the Third Proportional to 1,196,544 and 2,561,277

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Solution

The third proportional to 1,196,544 and 2,561,277 is: 5,482,573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,544 : 2,561,277 = 2,561,277 : x
  2. Step 2: Convert to fraction form
    1,196,544/2,561,277 = 2,561,277/x
  3. Step 3: Cross multiply
    1,196,544x = 2,561,277 × 2,561,277
  4. Step 4: Simplify right side
    1,196,544x = 6,560,139,870,729
  5. Step 5: Solve for x
    x = 6,560,139,870,729/1,196,544
  6. Step 6: Final answer
    x = 5,482,573.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.