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Finding the Third Proportional to 1,741,590 and 3,773,812

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Solution

The third proportional to 1,741,590 and 3,773,812 is: 8,177,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,590 : 3,773,812 = 3,773,812 : x
  2. Step 2: Convert to fraction form
    1,741,590/3,773,812 = 3,773,812/x
  3. Step 3: Cross multiply
    1,741,590x = 3,773,812 × 3,773,812
  4. Step 4: Simplify right side
    1,741,590x = 14,241,657,011,344
  5. Step 5: Solve for x
    x = 14,241,657,011,344/1,741,590
  6. Step 6: Final answer
    x = 8,177,387.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.