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Finding the Third Proportional to 1,970,493.75 and 2,969,834.91

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Solution

The third proportional to 1,970,493.75 and 2,969,834.91 is: 4,475,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,493.75 : 2,969,834.91 = 2,969,834.91 : x
  2. Step 2: Convert to fraction form
    1,970,493.75/2,969,834.91 = 2,969,834.91/x
  3. Step 3: Cross multiply
    1,970,493.75x = 2,969,834.91 × 2,969,834.91
  4. Step 4: Simplify right side
    1,970,493.75x = 8,819,919,370,380.95
  5. Step 5: Solve for x
    x = 8,819,919,370,380.95/1,970,493.75
  6. Step 6: Final answer
    x = 4,475,994.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.