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Finding the Third Proportional to 691,805 and 883,969

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Solution

The third proportional to 691,805 and 883,969 is: 1,129,510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,805 : 883,969 = 883,969 : x
  2. Step 2: Convert to fraction form
    691,805/883,969 = 883,969/x
  3. Step 3: Cross multiply
    691,805x = 883,969 × 883,969
  4. Step 4: Simplify right side
    691,805x = 781,401,192,961
  5. Step 5: Solve for x
    x = 781,401,192,961/691,805
  6. Step 6: Final answer
    x = 1,129,510.76

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.