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Finding the Third Proportional to 423,022 and 866,676

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Solution

The third proportional to 423,022 and 866,676 is: 1,775,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,022 : 866,676 = 866,676 : x
  2. Step 2: Convert to fraction form
    423,022/866,676 = 866,676/x
  3. Step 3: Cross multiply
    423,022x = 866,676 × 866,676
  4. Step 4: Simplify right side
    423,022x = 751,127,288,976
  5. Step 5: Solve for x
    x = 751,127,288,976/423,022
  6. Step 6: Final answer
    x = 1,775,622.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.