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Finding the Third Proportional to 441,651 and 953,286

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Solution

The third proportional to 441,651 and 953,286 is: 2,057,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,651 : 953,286 = 953,286 : x
  2. Step 2: Convert to fraction form
    441,651/953,286 = 953,286/x
  3. Step 3: Cross multiply
    441,651x = 953,286 × 953,286
  4. Step 4: Simplify right side
    441,651x = 908,754,197,796
  5. Step 5: Solve for x
    x = 908,754,197,796/441,651
  6. Step 6: Final answer
    x = 2,057,629.66

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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.