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Finding the Third Proportional to 449,523 and 956,259

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Solution

The third proportional to 449,523 and 956,259 is: 2,034,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,523 : 956,259 = 956,259 : x
  2. Step 2: Convert to fraction form
    449,523/956,259 = 956,259/x
  3. Step 3: Cross multiply
    449,523x = 956,259 × 956,259
  4. Step 4: Simplify right side
    449,523x = 914,431,275,081
  5. Step 5: Solve for x
    x = 914,431,275,081/449,523
  6. Step 6: Final answer
    x = 2,034,225.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.