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Finding the Third Proportional to 669,337 and 1,019,694

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Solution

The third proportional to 669,337 and 1,019,694 is: 1,553,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,337 : 1,019,694 = 1,019,694 : x
  2. Step 2: Convert to fraction form
    669,337/1,019,694 = 1,019,694/x
  3. Step 3: Cross multiply
    669,337x = 1,019,694 × 1,019,694
  4. Step 4: Simplify right side
    669,337x = 1,039,775,853,636
  5. Step 5: Solve for x
    x = 1,039,775,853,636/669,337
  6. Step 6: Final answer
    x = 1,553,441.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.