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Finding the Third Proportional to 444,382 and 956,199

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Solution

The third proportional to 444,382 and 956,199 is: 2,057,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,382 : 956,199 = 956,199 : x
  2. Step 2: Convert to fraction form
    444,382/956,199 = 956,199/x
  3. Step 3: Cross multiply
    444,382x = 956,199 × 956,199
  4. Step 4: Simplify right side
    444,382x = 914,316,527,601
  5. Step 5: Solve for x
    x = 914,316,527,601/444,382
  6. Step 6: Final answer
    x = 2,057,501.27

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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.