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Finding the Third Proportional to 734,082 and 1,134,504

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Solution

The third proportional to 734,082 and 1,134,504 is: 1,753,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,082 : 1,134,504 = 1,134,504 : x
  2. Step 2: Convert to fraction form
    734,082/1,134,504 = 1,134,504/x
  3. Step 3: Cross multiply
    734,082x = 1,134,504 × 1,134,504
  4. Step 4: Simplify right side
    734,082x = 1,287,099,326,016
  5. Step 5: Solve for x
    x = 1,287,099,326,016/734,082
  6. Step 6: Final answer
    x = 1,753,345.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.