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Finding the Third Proportional to 1,743,589 and 3,754,357

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Solution

The third proportional to 1,743,589 and 3,754,357 is: 8,084,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,589 : 3,754,357 = 3,754,357 : x
  2. Step 2: Convert to fraction form
    1,743,589/3,754,357 = 3,754,357/x
  3. Step 3: Cross multiply
    1,743,589x = 3,754,357 × 3,754,357
  4. Step 4: Simplify right side
    1,743,589x = 14,095,196,483,449
  5. Step 5: Solve for x
    x = 14,095,196,483,449/1,743,589
  6. Step 6: Final answer
    x = 8,084,013.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.