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Finding the Third Proportional to 756,726 and 1,135,197

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Solution

The third proportional to 756,726 and 1,135,197 is: 1,702,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,726 : 1,135,197 = 1,135,197 : x
  2. Step 2: Convert to fraction form
    756,726/1,135,197 = 1,135,197/x
  3. Step 3: Cross multiply
    756,726x = 1,135,197 × 1,135,197
  4. Step 4: Simplify right side
    756,726x = 1,288,672,228,809
  5. Step 5: Solve for x
    x = 1,288,672,228,809/756,726
  6. Step 6: Final answer
    x = 1,702,957.52

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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.