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Finding the Third Proportional to 756,758 and 1,133,051

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Solution

The third proportional to 756,758 and 1,133,051 is: 1,696,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,758 : 1,133,051 = 1,133,051 : x
  2. Step 2: Convert to fraction form
    756,758/1,133,051 = 1,133,051/x
  3. Step 3: Cross multiply
    756,758x = 1,133,051 × 1,133,051
  4. Step 4: Simplify right side
    756,758x = 1,283,804,568,601
  5. Step 5: Solve for x
    x = 1,283,804,568,601/756,758
  6. Step 6: Final answer
    x = 1,696,453.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.