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Finding the Third Proportional to 734,166 and 1,033,892

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Solution

The third proportional to 734,166 and 1,033,892 is: 1,455,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,166 : 1,033,892 = 1,033,892 : x
  2. Step 2: Convert to fraction form
    734,166/1,033,892 = 1,033,892/x
  3. Step 3: Cross multiply
    734,166x = 1,033,892 × 1,033,892
  4. Step 4: Simplify right side
    734,166x = 1,068,932,667,664
  5. Step 5: Solve for x
    x = 1,068,932,667,664/734,166
  6. Step 6: Final answer
    x = 1,455,982.25

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.