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Finding the Third Proportional to 855,897 and 1,324,563

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Solution

The third proportional to 855,897 and 1,324,563 is: 2,049,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,897 : 1,324,563 = 1,324,563 : x
  2. Step 2: Convert to fraction form
    855,897/1,324,563 = 1,324,563/x
  3. Step 3: Cross multiply
    855,897x = 1,324,563 × 1,324,563
  4. Step 4: Simplify right side
    855,897x = 1,754,467,140,969
  5. Step 5: Solve for x
    x = 1,754,467,140,969/855,897
  6. Step 6: Final answer
    x = 2,049,857.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.