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Finding the Third Proportional to 804,546 and 1,108,266

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Solution

The third proportional to 804,546 and 1,108,266 is: 1,526,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,546 : 1,108,266 = 1,108,266 : x
  2. Step 2: Convert to fraction form
    804,546/1,108,266 = 1,108,266/x
  3. Step 3: Cross multiply
    804,546x = 1,108,266 × 1,108,266
  4. Step 4: Simplify right side
    804,546x = 1,228,253,526,756
  5. Step 5: Solve for x
    x = 1,228,253,526,756/804,546
  6. Step 6: Final answer
    x = 1,526,641.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.