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Finding the Third Proportional to 734,976.75 and 1,121,148.75

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Solution

The third proportional to 734,976.75 and 1,121,148.75 is: 1,710,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,976.75 : 1,121,148.75 = 1,121,148.75 : x
  2. Step 2: Convert to fraction form
    734,976.75/1,121,148.75 = 1,121,148.75/x
  3. Step 3: Cross multiply
    734,976.75x = 1,121,148.75 × 1,121,148.75
  4. Step 4: Simplify right side
    734,976.75x = 1,256,974,519,626.56
  5. Step 5: Solve for x
    x = 1,256,974,519,626.56/734,976.75
  6. Step 6: Final answer
    x = 1,710,223.51

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Why These Related Problems?

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