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Finding the Third Proportional to 1,286,566 and 2,797,231

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Solution

The third proportional to 1,286,566 and 2,797,231 is: 6,081,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,566 : 2,797,231 = 2,797,231 : x
  2. Step 2: Convert to fraction form
    1,286,566/2,797,231 = 2,797,231/x
  3. Step 3: Cross multiply
    1,286,566x = 2,797,231 × 2,797,231
  4. Step 4: Simplify right side
    1,286,566x = 7,824,501,267,361
  5. Step 5: Solve for x
    x = 7,824,501,267,361/1,286,566
  6. Step 6: Final answer
    x = 6,081,694.42

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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.