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Finding the Third Proportional to 1,743,179 and 3,766,456

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Solution

The third proportional to 1,743,179 and 3,766,456 is: 8,138,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,179 : 3,766,456 = 3,766,456 : x
  2. Step 2: Convert to fraction form
    1,743,179/3,766,456 = 3,766,456/x
  3. Step 3: Cross multiply
    1,743,179x = 3,766,456 × 3,766,456
  4. Step 4: Simplify right side
    1,743,179x = 14,186,190,799,936
  5. Step 5: Solve for x
    x = 14,186,190,799,936/1,743,179
  6. Step 6: Final answer
    x = 8,138,114.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.