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Finding the Third Proportional to 656,775 and 1,414,867

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Solution

The third proportional to 656,775 and 1,414,867 is: 3,047,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,775 : 1,414,867 = 1,414,867 : x
  2. Step 2: Convert to fraction form
    656,775/1,414,867 = 1,414,867/x
  3. Step 3: Cross multiply
    656,775x = 1,414,867 × 1,414,867
  4. Step 4: Simplify right side
    656,775x = 2,001,848,627,689
  5. Step 5: Solve for x
    x = 2,001,848,627,689/656,775
  6. Step 6: Final answer
    x = 3,047,997.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.