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Finding the Third Proportional to 454,692 and 956,520

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Solution

The third proportional to 454,692 and 956,520 is: 2,012,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,692 : 956,520 = 956,520 : x
  2. Step 2: Convert to fraction form
    454,692/956,520 = 956,520/x
  3. Step 3: Cross multiply
    454,692x = 956,520 × 956,520
  4. Step 4: Simplify right side
    454,692x = 914,930,510,400
  5. Step 5: Solve for x
    x = 914,930,510,400/454,692
  6. Step 6: Final answer
    x = 2,012,198.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.