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Finding the Third Proportional to 379,849 and 810,541

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Solution

The third proportional to 379,849 and 810,541 is: 1,729,573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,849 : 810,541 = 810,541 : x
  2. Step 2: Convert to fraction form
    379,849/810,541 = 810,541/x
  3. Step 3: Cross multiply
    379,849x = 810,541 × 810,541
  4. Step 4: Simplify right side
    379,849x = 656,976,712,681
  5. Step 5: Solve for x
    x = 656,976,712,681/379,849
  6. Step 6: Final answer
    x = 1,729,573.36

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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.