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Finding the Third Proportional to 441,682 and 953,307

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Solution

The third proportional to 441,682 and 953,307 is: 2,057,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,682 : 953,307 = 953,307 : x
  2. Step 2: Convert to fraction form
    441,682/953,307 = 953,307/x
  3. Step 3: Cross multiply
    441,682x = 953,307 × 953,307
  4. Step 4: Simplify right side
    441,682x = 908,794,236,249
  5. Step 5: Solve for x
    x = 908,794,236,249/441,682
  6. Step 6: Final answer
    x = 2,057,575.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.