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Finding the Third Proportional to 391,545 and 854,995

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Solution

The third proportional to 391,545 and 854,995 is: 1,867,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,545 : 854,995 = 854,995 : x
  2. Step 2: Convert to fraction form
    391,545/854,995 = 854,995/x
  3. Step 3: Cross multiply
    391,545x = 854,995 × 854,995
  4. Step 4: Simplify right side
    391,545x = 731,016,450,025
  5. Step 5: Solve for x
    x = 731,016,450,025/391,545
  6. Step 6: Final answer
    x = 1,867,004.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.