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Finding the Third Proportional to 422,742 and 936,630

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Solution

The third proportional to 422,742 and 936,630 is: 2,075,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,742 : 936,630 = 936,630 : x
  2. Step 2: Convert to fraction form
    422,742/936,630 = 936,630/x
  3. Step 3: Cross multiply
    422,742x = 936,630 × 936,630
  4. Step 4: Simplify right side
    422,742x = 877,275,756,900
  5. Step 5: Solve for x
    x = 877,275,756,900/422,742
  6. Step 6: Final answer
    x = 2,075,203.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.