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Finding the Third Proportional to 740,256 and 1,115,847

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Solution

The third proportional to 740,256 and 1,115,847 is: 1,682,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,256 : 1,115,847 = 1,115,847 : x
  2. Step 2: Convert to fraction form
    740,256/1,115,847 = 1,115,847/x
  3. Step 3: Cross multiply
    740,256x = 1,115,847 × 1,115,847
  4. Step 4: Simplify right side
    740,256x = 1,245,114,527,409
  5. Step 5: Solve for x
    x = 1,245,114,527,409/740,256
  6. Step 6: Final answer
    x = 1,682,005.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.