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Finding the Third Proportional to 676,863 and 1,505,019

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Solution

The third proportional to 676,863 and 1,505,019 is: 3,346,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,863 : 1,505,019 = 1,505,019 : x
  2. Step 2: Convert to fraction form
    676,863/1,505,019 = 1,505,019/x
  3. Step 3: Cross multiply
    676,863x = 1,505,019 × 1,505,019
  4. Step 4: Simplify right side
    676,863x = 2,265,082,190,361
  5. Step 5: Solve for x
    x = 2,265,082,190,361/676,863
  6. Step 6: Final answer
    x = 3,346,441.14

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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.