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Finding the Third Proportional to 815,902 and 1,146,942

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Solution

The third proportional to 815,902 and 1,146,942 is: 1,612,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,902 : 1,146,942 = 1,146,942 : x
  2. Step 2: Convert to fraction form
    815,902/1,146,942 = 1,146,942/x
  3. Step 3: Cross multiply
    815,902x = 1,146,942 × 1,146,942
  4. Step 4: Simplify right side
    815,902x = 1,315,475,951,364
  5. Step 5: Solve for x
    x = 1,315,475,951,364/815,902
  6. Step 6: Final answer
    x = 1,612,296.52

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