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Finding the Third Proportional to 669,417 and 1,471,512

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Solution

The third proportional to 669,417 and 1,471,512 is: 3,234,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,417 : 1,471,512 = 1,471,512 : x
  2. Step 2: Convert to fraction form
    669,417/1,471,512 = 1,471,512/x
  3. Step 3: Cross multiply
    669,417x = 1,471,512 × 1,471,512
  4. Step 4: Simplify right side
    669,417x = 2,165,347,566,144
  5. Step 5: Solve for x
    x = 2,165,347,566,144/669,417
  6. Step 6: Final answer
    x = 3,234,676.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.