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Finding the Third Proportional to 511,104 and 801,894

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Solution

The third proportional to 511,104 and 801,894 is: 1,258,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,104 : 801,894 = 801,894 : x
  2. Step 2: Convert to fraction form
    511,104/801,894 = 801,894/x
  3. Step 3: Cross multiply
    511,104x = 801,894 × 801,894
  4. Step 4: Simplify right side
    511,104x = 643,033,987,236
  5. Step 5: Solve for x
    x = 643,033,987,236/511,104
  6. Step 6: Final answer
    x = 1,258,127.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.