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Finding the Third Proportional to 767,918 and 1,033,770

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Solution

The third proportional to 767,918 and 1,033,770 is: 1,391,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,918 : 1,033,770 = 1,033,770 : x
  2. Step 2: Convert to fraction form
    767,918/1,033,770 = 1,033,770/x
  3. Step 3: Cross multiply
    767,918x = 1,033,770 × 1,033,770
  4. Step 4: Simplify right side
    767,918x = 1,068,680,412,900
  5. Step 5: Solve for x
    x = 1,068,680,412,900/767,918
  6. Step 6: Final answer
    x = 1,391,659.54

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