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Finding the Third Proportional to 734,615 and 1,123,019

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Solution

The third proportional to 734,615 and 1,123,019 is: 1,716,779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,615 : 1,123,019 = 1,123,019 : x
  2. Step 2: Convert to fraction form
    734,615/1,123,019 = 1,123,019/x
  3. Step 3: Cross multiply
    734,615x = 1,123,019 × 1,123,019
  4. Step 4: Simplify right side
    734,615x = 1,261,171,674,361
  5. Step 5: Solve for x
    x = 1,261,171,674,361/734,615
  6. Step 6: Final answer
    x = 1,716,779.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.