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Finding the Third Proportional to 734,085 and 1,123,088

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Solution

The third proportional to 734,085 and 1,123,088 is: 1,718,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,085 : 1,123,088 = 1,123,088 : x
  2. Step 2: Convert to fraction form
    734,085/1,123,088 = 1,123,088/x
  3. Step 3: Cross multiply
    734,085x = 1,123,088 × 1,123,088
  4. Step 4: Simplify right side
    734,085x = 1,261,326,655,744
  5. Step 5: Solve for x
    x = 1,261,326,655,744/734,085
  6. Step 6: Final answer
    x = 1,718,229.71

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