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Finding the Third Proportional to 807,733 and 1,267,205

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Solution

The third proportional to 807,733 and 1,267,205 is: 1,988,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,733 : 1,267,205 = 1,267,205 : x
  2. Step 2: Convert to fraction form
    807,733/1,267,205 = 1,267,205/x
  3. Step 3: Cross multiply
    807,733x = 1,267,205 × 1,267,205
  4. Step 4: Simplify right side
    807,733x = 1,605,808,512,025
  5. Step 5: Solve for x
    x = 1,605,808,512,025/807,733
  6. Step 6: Final answer
    x = 1,988,043.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.