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Finding the Third Proportional to 734,661 and 1,113,081.75

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Solution

The third proportional to 734,661 and 1,113,081.75 is: 1,686,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,661 : 1,113,081.75 = 1,113,081.75 : x
  2. Step 2: Convert to fraction form
    734,661/1,113,081.75 = 1,113,081.75/x
  3. Step 3: Cross multiply
    734,661x = 1,113,081.75 × 1,113,081.75
  4. Step 4: Simplify right side
    734,661x = 1,238,950,982,183.06
  5. Step 5: Solve for x
    x = 1,238,950,982,183.06/734,661
  6. Step 6: Final answer
    x = 1,686,425.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.