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Finding the Third Proportional to 1,297,833 and 2,795,349

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Solution

The third proportional to 1,297,833 and 2,795,349 is: 6,020,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,833 : 2,795,349 = 2,795,349 : x
  2. Step 2: Convert to fraction form
    1,297,833/2,795,349 = 2,795,349/x
  3. Step 3: Cross multiply
    1,297,833x = 2,795,349 × 2,795,349
  4. Step 4: Simplify right side
    1,297,833x = 7,813,976,031,801
  5. Step 5: Solve for x
    x = 7,813,976,031,801/1,297,833
  6. Step 6: Final answer
    x = 6,020,786.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.