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Finding the Third Proportional to 815,902 and 1,146,939

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Solution

The third proportional to 815,902 and 1,146,939 is: 1,612,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,902 : 1,146,939 = 1,146,939 : x
  2. Step 2: Convert to fraction form
    815,902/1,146,939 = 1,146,939/x
  3. Step 3: Cross multiply
    815,902x = 1,146,939 × 1,146,939
  4. Step 4: Simplify right side
    815,902x = 1,315,469,069,721
  5. Step 5: Solve for x
    x = 1,315,469,069,721/815,902
  6. Step 6: Final answer
    x = 1,612,288.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.