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Finding the Third Proportional to 449,498 and 965,698

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Solution

The third proportional to 449,498 and 965,698 is: 2,074,698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,498 : 965,698 = 965,698 : x
  2. Step 2: Convert to fraction form
    449,498/965,698 = 965,698/x
  3. Step 3: Cross multiply
    449,498x = 965,698 × 965,698
  4. Step 4: Simplify right side
    449,498x = 932,572,627,204
  5. Step 5: Solve for x
    x = 932,572,627,204/449,498
  6. Step 6: Final answer
    x = 2,074,698.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.