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Finding the Third Proportional to 3,634,828 and 5,702,449

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Solution

The third proportional to 3,634,828 and 5,702,449 is: 8,946,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634,828 : 5,702,449 = 5,702,449 : x
  2. Step 2: Convert to fraction form
    3,634,828/5,702,449 = 5,702,449/x
  3. Step 3: Cross multiply
    3,634,828x = 5,702,449 × 5,702,449
  4. Step 4: Simplify right side
    3,634,828x = 32,517,924,597,601
  5. Step 5: Solve for x
    x = 32,517,924,597,601/3,634,828
  6. Step 6: Final answer
    x = 8,946,207.25

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.