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Finding the Third Proportional to 506,736 and 1,094,676

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Solution

The third proportional to 506,736 and 1,094,676 is: 2,364,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,736 : 1,094,676 = 1,094,676 : x
  2. Step 2: Convert to fraction form
    506,736/1,094,676 = 1,094,676/x
  3. Step 3: Cross multiply
    506,736x = 1,094,676 × 1,094,676
  4. Step 4: Simplify right side
    506,736x = 1,198,315,544,976
  5. Step 5: Solve for x
    x = 1,198,315,544,976/506,736
  6. Step 6: Final answer
    x = 2,364,772.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.