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Finding the Third Proportional to 2,129,456.25 and 3,219,574.50

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Solution

The third proportional to 2,129,456.25 and 3,219,574.50 is: 4,867,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,456.25 : 3,219,574.50 = 3,219,574.50 : x
  2. Step 2: Convert to fraction form
    2,129,456.25/3,219,574.50 = 3,219,574.50/x
  3. Step 3: Cross multiply
    2,129,456.25x = 3,219,574.50 × 3,219,574.50
  4. Step 4: Simplify right side
    2,129,456.25x = 10,365,659,961,050.25
  5. Step 5: Solve for x
    x = 10,365,659,961,050.25/2,129,456.25
  6. Step 6: Final answer
    x = 4,867,749.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.