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Finding the Third Proportional to 724,649.63 and 1,574,163.56

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Solution

The third proportional to 724,649.63 and 1,574,163.56 is: 3,419,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,649.63 : 1,574,163.56 = 1,574,163.56 : x
  2. Step 2: Convert to fraction form
    724,649.63/1,574,163.56 = 1,574,163.56/x
  3. Step 3: Cross multiply
    724,649.63x = 1,574,163.56 × 1,574,163.56
  4. Step 4: Simplify right side
    724,649.63x = 2,477,990,921,502.69
  5. Step 5: Solve for x
    x = 2,477,990,921,502.69/724,649.63
  6. Step 6: Final answer
    x = 3,419,571.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.