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Finding the Third Proportional to 454,694 and 956,524

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Solution

The third proportional to 454,694 and 956,524 is: 2,012,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,694 : 956,524 = 956,524 : x
  2. Step 2: Convert to fraction form
    454,694/956,524 = 956,524/x
  3. Step 3: Cross multiply
    454,694x = 956,524 × 956,524
  4. Step 4: Simplify right side
    454,694x = 914,938,162,576
  5. Step 5: Solve for x
    x = 914,938,162,576/454,694
  6. Step 6: Final answer
    x = 2,012,206.37

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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.