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Finding the Third Proportional to 441,684 and 953,311

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Solution

The third proportional to 441,684 and 953,311 is: 2,057,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,684 : 953,311 = 953,311 : x
  2. Step 2: Convert to fraction form
    441,684/953,311 = 953,311/x
  3. Step 3: Cross multiply
    441,684x = 953,311 × 953,311
  4. Step 4: Simplify right side
    441,684x = 908,801,862,721
  5. Step 5: Solve for x
    x = 908,801,862,721/441,684
  6. Step 6: Final answer
    x = 2,057,583.84

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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.