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Finding the Third Proportional to 3,419,132.06 and 5,414,121.84

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Solution

The third proportional to 3,419,132.06 and 5,414,121.84 is: 8,573,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419,132.06 : 5,414,121.84 = 5,414,121.84 : x
  2. Step 2: Convert to fraction form
    3,419,132.06/5,414,121.84 = 5,414,121.84/x
  3. Step 3: Cross multiply
    3,419,132.06x = 5,414,121.84 × 5,414,121.84
  4. Step 4: Simplify right side
    3,419,132.06x = 29,312,715,338,970.90
  5. Step 5: Solve for x
    x = 29,312,715,338,970.90/3,419,132.06
  6. Step 6: Final answer
    x = 8,573,145.11

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.