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Finding the Third Proportional to 416,406 and 891,933

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Solution

The third proportional to 416,406 and 891,933 is: 1,910,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,406 : 891,933 = 891,933 : x
  2. Step 2: Convert to fraction form
    416,406/891,933 = 891,933/x
  3. Step 3: Cross multiply
    416,406x = 891,933 × 891,933
  4. Step 4: Simplify right side
    416,406x = 795,544,476,489
  5. Step 5: Solve for x
    x = 795,544,476,489/416,406
  6. Step 6: Final answer
    x = 1,910,501.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.