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Finding the Third Proportional to 1,971,926 and 4,037,296

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Solution

The third proportional to 1,971,926 and 4,037,296 is: 8,265,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,926 : 4,037,296 = 4,037,296 : x
  2. Step 2: Convert to fraction form
    1,971,926/4,037,296 = 4,037,296/x
  3. Step 3: Cross multiply
    1,971,926x = 4,037,296 × 4,037,296
  4. Step 4: Simplify right side
    1,971,926x = 16,299,758,991,616
  5. Step 5: Solve for x
    x = 16,299,758,991,616/1,971,926
  6. Step 6: Final answer
    x = 8,265,908.05

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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.