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Finding the Third Proportional to 1,286,604.84 and 2,797,286.06

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Solution

The third proportional to 1,286,604.84 and 2,797,286.06 is: 6,081,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,604.84 : 2,797,286.06 = 2,797,286.06 : x
  2. Step 2: Convert to fraction form
    1,286,604.84/2,797,286.06 = 2,797,286.06/x
  3. Step 3: Cross multiply
    1,286,604.84x = 2,797,286.06 × 2,797,286.06
  4. Step 4: Simplify right side
    1,286,604.84x = 7,824,809,315,456.75
  5. Step 5: Solve for x
    x = 7,824,809,315,456.75/1,286,604.84
  6. Step 6: Final answer
    x = 6,081,750.24

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Why These Related Problems?

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