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Finding the Third Proportional to 2,054,190 and 3,205,642.50

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Solution

The third proportional to 2,054,190 and 3,205,642.50 is: 5,002,528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,190 : 3,205,642.50 = 3,205,642.50 : x
  2. Step 2: Convert to fraction form
    2,054,190/3,205,642.50 = 3,205,642.50/x
  3. Step 3: Cross multiply
    2,054,190x = 3,205,642.50 × 3,205,642.50
  4. Step 4: Simplify right side
    2,054,190x = 10,276,143,837,806.25
  5. Step 5: Solve for x
    x = 10,276,143,837,806.25/2,054,190
  6. Step 6: Final answer
    x = 5,002,528.41

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.