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Finding the Third Proportional to 734,206.78 and 1,590,900.75

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Solution

The third proportional to 734,206.78 and 1,590,900.75 is: 3,447,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,206.78 : 1,590,900.75 = 1,590,900.75 : x
  2. Step 2: Convert to fraction form
    734,206.78/1,590,900.75 = 1,590,900.75/x
  3. Step 3: Cross multiply
    734,206.78x = 1,590,900.75 × 1,590,900.75
  4. Step 4: Simplify right side
    734,206.78x = 2,530,965,196,350.56
  5. Step 5: Solve for x
    x = 2,530,965,196,350.56/734,206.78
  6. Step 6: Final answer
    x = 3,447,210.32

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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.