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Finding the Third Proportional to 445,444 and 971,286

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Solution

The third proportional to 445,444 and 971,286 is: 2,117,879.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,444 : 971,286 = 971,286 : x
  2. Step 2: Convert to fraction form
    445,444/971,286 = 971,286/x
  3. Step 3: Cross multiply
    445,444x = 971,286 × 971,286
  4. Step 4: Simplify right side
    445,444x = 943,396,493,796
  5. Step 5: Solve for x
    x = 943,396,493,796/445,444
  6. Step 6: Final answer
    x = 2,117,879.00

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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.