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Finding the Third Proportional to 705,309 and 1,664,694

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Solution

The third proportional to 705,309 and 1,664,694 is: 3,929,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,309 : 1,664,694 = 1,664,694 : x
  2. Step 2: Convert to fraction form
    705,309/1,664,694 = 1,664,694/x
  3. Step 3: Cross multiply
    705,309x = 1,664,694 × 1,664,694
  4. Step 4: Simplify right side
    705,309x = 2,771,206,113,636
  5. Step 5: Solve for x
    x = 2,771,206,113,636/705,309
  6. Step 6: Final answer
    x = 3,929,066.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.