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Finding the Third Proportional to 445,448 and 971,296

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Solution

The third proportional to 445,448 and 971,296 is: 2,117,903.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,448 : 971,296 = 971,296 : x
  2. Step 2: Convert to fraction form
    445,448/971,296 = 971,296/x
  3. Step 3: Cross multiply
    445,448x = 971,296 × 971,296
  4. Step 4: Simplify right side
    445,448x = 943,415,919,616
  5. Step 5: Solve for x
    x = 943,415,919,616/445,448
  6. Step 6: Final answer
    x = 2,117,903.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.