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Finding the Third Proportional to 2,077,438.50 and 3,191,199.75

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Solution

The third proportional to 2,077,438.50 and 3,191,199.75 is: 4,902,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,438.50 : 3,191,199.75 = 3,191,199.75 : x
  2. Step 2: Convert to fraction form
    2,077,438.50/3,191,199.75 = 3,191,199.75/x
  3. Step 3: Cross multiply
    2,077,438.50x = 3,191,199.75 × 3,191,199.75
  4. Step 4: Simplify right side
    2,077,438.50x = 10,183,755,844,400.06
  5. Step 5: Solve for x
    x = 10,183,755,844,400.06/2,077,438.50
  6. Step 6: Final answer
    x = 4,902,073.32

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