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Finding the Third Proportional to 2,077,438.50 and 3,191,199

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Solution

The third proportional to 2,077,438.50 and 3,191,199 is: 4,902,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,438.50 : 3,191,199 = 3,191,199 : x
  2. Step 2: Convert to fraction form
    2,077,438.50/3,191,199 = 3,191,199/x
  3. Step 3: Cross multiply
    2,077,438.50x = 3,191,199 × 3,191,199
  4. Step 4: Simplify right side
    2,077,438.50x = 10,183,751,057,601
  5. Step 5: Solve for x
    x = 10,183,751,057,601/2,077,438.50
  6. Step 6: Final answer
    x = 4,902,071.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.