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Finding the Third Proportional to 406,354 and 934,561

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Solution

The third proportional to 406,354 and 934,561 is: 2,149,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,354 : 934,561 = 934,561 : x
  2. Step 2: Convert to fraction form
    406,354/934,561 = 934,561/x
  3. Step 3: Cross multiply
    406,354x = 934,561 × 934,561
  4. Step 4: Simplify right side
    406,354x = 873,404,262,721
  5. Step 5: Solve for x
    x = 873,404,262,721/406,354
  6. Step 6: Final answer
    x = 2,149,367.95

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.