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Finding the Third Proportional to 660,969 and 891,799

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Solution

The third proportional to 660,969 and 891,799 is: 1,203,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,969 : 891,799 = 891,799 : x
  2. Step 2: Convert to fraction form
    660,969/891,799 = 891,799/x
  3. Step 3: Cross multiply
    660,969x = 891,799 × 891,799
  4. Step 4: Simplify right side
    660,969x = 795,305,456,401
  5. Step 5: Solve for x
    x = 795,305,456,401/660,969
  6. Step 6: Final answer
    x = 1,203,241.69

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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.