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Finding the Third Proportional to 971,284 and 2,060,918

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Solution

The third proportional to 971,284 and 2,060,918 is: 4,372,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,284 : 2,060,918 = 2,060,918 : x
  2. Step 2: Convert to fraction form
    971,284/2,060,918 = 2,060,918/x
  3. Step 3: Cross multiply
    971,284x = 2,060,918 × 2,060,918
  4. Step 4: Simplify right side
    971,284x = 4,247,383,002,724
  5. Step 5: Solve for x
    x = 4,247,383,002,724/971,284
  6. Step 6: Final answer
    x = 4,372,956.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.