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Finding the Third Proportional to 812,548 and 1,760,696

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Solution

The third proportional to 812,548 and 1,760,696 is: 3,815,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,548 : 1,760,696 = 1,760,696 : x
  2. Step 2: Convert to fraction form
    812,548/1,760,696 = 1,760,696/x
  3. Step 3: Cross multiply
    812,548x = 1,760,696 × 1,760,696
  4. Step 4: Simplify right side
    812,548x = 3,100,050,404,416
  5. Step 5: Solve for x
    x = 3,100,050,404,416/812,548
  6. Step 6: Final answer
    x = 3,815,221.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.