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Finding the Third Proportional to 3,409,207.50 and 5,681,338

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Solution

The third proportional to 3,409,207.50 and 5,681,338 is: 9,467,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409,207.50 : 5,681,338 = 5,681,338 : x
  2. Step 2: Convert to fraction form
    3,409,207.50/5,681,338 = 5,681,338/x
  3. Step 3: Cross multiply
    3,409,207.50x = 5,681,338 × 5,681,338
  4. Step 4: Simplify right side
    3,409,207.50x = 32,277,601,470,244
  5. Step 5: Solve for x
    x = 32,277,601,470,244/3,409,207.50
  6. Step 6: Final answer
    x = 9,467,772.63

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.