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Finding the Third Proportional to 379,154 and 877,757

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Solution

The third proportional to 379,154 and 877,757 is: 2,032,043.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,154 : 877,757 = 877,757 : x
  2. Step 2: Convert to fraction form
    379,154/877,757 = 877,757/x
  3. Step 3: Cross multiply
    379,154x = 877,757 × 877,757
  4. Step 4: Simplify right side
    379,154x = 770,457,351,049
  5. Step 5: Solve for x
    x = 770,457,351,049/379,154
  6. Step 6: Final answer
    x = 2,032,043.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.