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Finding the Third Proportional to 829,504 and 1,694,000

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Solution

The third proportional to 829,504 and 1,694,000 is: 3,459,460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,504 : 1,694,000 = 1,694,000 : x
  2. Step 2: Convert to fraction form
    829,504/1,694,000 = 1,694,000/x
  3. Step 3: Cross multiply
    829,504x = 1,694,000 × 1,694,000
  4. Step 4: Simplify right side
    829,504x = 2,869,636,000,000
  5. Step 5: Solve for x
    x = 2,869,636,000,000/829,504
  6. Step 6: Final answer
    x = 3,459,460.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.