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Finding the Third Proportional to 775,299 and 1,642,656

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Solution

The third proportional to 775,299 and 1,642,656 is: 3,480,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,299 : 1,642,656 = 1,642,656 : x
  2. Step 2: Convert to fraction form
    775,299/1,642,656 = 1,642,656/x
  3. Step 3: Cross multiply
    775,299x = 1,642,656 × 1,642,656
  4. Step 4: Simplify right side
    775,299x = 2,698,318,734,336
  5. Step 5: Solve for x
    x = 2,698,318,734,336/775,299
  6. Step 6: Final answer
    x = 3,480,358.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.