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Finding the Third Proportional to 768,969 and 1,651,770

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Solution

The third proportional to 768,969 and 1,651,770 is: 3,548,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,969 : 1,651,770 = 1,651,770 : x
  2. Step 2: Convert to fraction form
    768,969/1,651,770 = 1,651,770/x
  3. Step 3: Cross multiply
    768,969x = 1,651,770 × 1,651,770
  4. Step 4: Simplify right side
    768,969x = 2,728,344,132,900
  5. Step 5: Solve for x
    x = 2,728,344,132,900/768,969
  6. Step 6: Final answer
    x = 3,548,054.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.