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Finding the Third Proportional to 749,256.75 and 1,169,847

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Solution

The third proportional to 749,256.75 and 1,169,847 is: 1,826,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,256.75 : 1,169,847 = 1,169,847 : x
  2. Step 2: Convert to fraction form
    749,256.75/1,169,847 = 1,169,847/x
  3. Step 3: Cross multiply
    749,256.75x = 1,169,847 × 1,169,847
  4. Step 4: Simplify right side
    749,256.75x = 1,368,542,003,409
  5. Step 5: Solve for x
    x = 1,368,542,003,409/749,256.75
  6. Step 6: Final answer
    x = 1,826,532.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.