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Finding the Third Proportional to 379,166 and 877,786

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Solution

The third proportional to 379,166 and 877,786 is: 2,032,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,166 : 877,786 = 877,786 : x
  2. Step 2: Convert to fraction form
    379,166/877,786 = 877,786/x
  3. Step 3: Cross multiply
    379,166x = 877,786 × 877,786
  4. Step 4: Simplify right side
    379,166x = 770,508,261,796
  5. Step 5: Solve for x
    x = 770,508,261,796/379,166
  6. Step 6: Final answer
    x = 2,032,113.27

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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.