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Finding the Third Proportional to 734,170.50 and 1,507,869

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Solution

The third proportional to 734,170.50 and 1,507,869 is: 3,096,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,170.50 : 1,507,869 = 1,507,869 : x
  2. Step 2: Convert to fraction form
    734,170.50/1,507,869 = 1,507,869/x
  3. Step 3: Cross multiply
    734,170.50x = 1,507,869 × 1,507,869
  4. Step 4: Simplify right side
    734,170.50x = 2,273,668,921,161
  5. Step 5: Solve for x
    x = 2,273,668,921,161/734,170.50
  6. Step 6: Final answer
    x = 3,096,922.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.