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Finding the Third Proportional to 681,676 and 1,433,844

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Solution

The third proportional to 681,676 and 1,433,844 is: 3,015,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,676 : 1,433,844 = 1,433,844 : x
  2. Step 2: Convert to fraction form
    681,676/1,433,844 = 1,433,844/x
  3. Step 3: Cross multiply
    681,676x = 1,433,844 × 1,433,844
  4. Step 4: Simplify right side
    681,676x = 2,055,908,616,336
  5. Step 5: Solve for x
    x = 2,055,908,616,336/681,676
  6. Step 6: Final answer
    x = 3,015,961.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.