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Finding the Third Proportional to 1,906,296 and 2,971,982

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Solution

The third proportional to 1,906,296 and 2,971,982 is: 4,633,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906,296 : 2,971,982 = 2,971,982 : x
  2. Step 2: Convert to fraction form
    1,906,296/2,971,982 = 2,971,982/x
  3. Step 3: Cross multiply
    1,906,296x = 2,971,982 × 2,971,982
  4. Step 4: Simplify right side
    1,906,296x = 8,832,677,008,324
  5. Step 5: Solve for x
    x = 8,832,677,008,324/1,906,296
  6. Step 6: Final answer
    x = 4,633,423.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.