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Finding the Third Proportional to 445,434 and 971,268

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Solution

The third proportional to 445,434 and 971,268 is: 2,117,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,434 : 971,268 = 971,268 : x
  2. Step 2: Convert to fraction form
    445,434/971,268 = 971,268/x
  3. Step 3: Cross multiply
    445,434x = 971,268 × 971,268
  4. Step 4: Simplify right side
    445,434x = 943,361,527,824
  5. Step 5: Solve for x
    x = 943,361,527,824/445,434
  6. Step 6: Final answer
    x = 2,117,848.05

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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.