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Finding the Third Proportional to 457,839 and 957,498

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Solution

The third proportional to 457,839 and 957,498 is: 2,002,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,839 : 957,498 = 957,498 : x
  2. Step 2: Convert to fraction form
    457,839/957,498 = 957,498/x
  3. Step 3: Cross multiply
    457,839x = 957,498 × 957,498
  4. Step 4: Simplify right side
    457,839x = 916,802,420,004
  5. Step 5: Solve for x
    x = 916,802,420,004/457,839
  6. Step 6: Final answer
    x = 2,002,455.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.