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Finding the Third Proportional to 767,910 and 1,033,763

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Solution

The third proportional to 767,910 and 1,033,763 is: 1,391,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,910 : 1,033,763 = 1,033,763 : x
  2. Step 2: Convert to fraction form
    767,910/1,033,763 = 1,033,763/x
  3. Step 3: Cross multiply
    767,910x = 1,033,763 × 1,033,763
  4. Step 4: Simplify right side
    767,910x = 1,068,665,940,169
  5. Step 5: Solve for x
    x = 1,068,665,940,169/767,910
  6. Step 6: Final answer
    x = 1,391,655.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.