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Finding the Third Proportional to 812,598.75 and 1,259,982.84

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Solution

The third proportional to 812,598.75 and 1,259,982.84 is: 1,953,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,598.75 : 1,259,982.84 = 1,259,982.84 : x
  2. Step 2: Convert to fraction form
    812,598.75/1,259,982.84 = 1,259,982.84/x
  3. Step 3: Cross multiply
    812,598.75x = 1,259,982.84 × 1,259,982.84
  4. Step 4: Simplify right side
    812,598.75x = 1,587,556,766,544.34
  5. Step 5: Solve for x
    x = 1,587,556,766,544.34/812,598.75
  6. Step 6: Final answer
    x = 1,953,678.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.