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Finding the Third Proportional to 1,971,894 and 4,037,244

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Solution

The third proportional to 1,971,894 and 4,037,244 is: 8,265,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,894 : 4,037,244 = 4,037,244 : x
  2. Step 2: Convert to fraction form
    1,971,894/4,037,244 = 4,037,244/x
  3. Step 3: Cross multiply
    1,971,894x = 4,037,244 × 4,037,244
  4. Step 4: Simplify right side
    1,971,894x = 16,299,339,115,536
  5. Step 5: Solve for x
    x = 16,299,339,115,536/1,971,894
  6. Step 6: Final answer
    x = 8,265,829.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.