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Finding the Third Proportional to 971,956 and 2,006,016

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Solution

The third proportional to 971,956 and 2,006,016 is: 4,140,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,956 : 2,006,016 = 2,006,016 : x
  2. Step 2: Convert to fraction form
    971,956/2,006,016 = 2,006,016/x
  3. Step 3: Cross multiply
    971,956x = 2,006,016 × 2,006,016
  4. Step 4: Simplify right side
    971,956x = 4,024,100,192,256
  5. Step 5: Solve for x
    x = 4,024,100,192,256/971,956
  6. Step 6: Final answer
    x = 4,140,208.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.