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Finding the Third Proportional to 1,494,474 and 3,201,543.75

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Solution

The third proportional to 1,494,474 and 3,201,543.75 is: 6,858,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494,474 : 3,201,543.75 = 3,201,543.75 : x
  2. Step 2: Convert to fraction form
    1,494,474/3,201,543.75 = 3,201,543.75/x
  3. Step 3: Cross multiply
    1,494,474x = 3,201,543.75 × 3,201,543.75
  4. Step 4: Simplify right side
    1,494,474x = 10,249,882,383,164.06
  5. Step 5: Solve for x
    x = 10,249,882,383,164.06/1,494,474
  6. Step 6: Final answer
    x = 6,858,521.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.