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Finding the Third Proportional to 686,233.69 and 1,061,608.78

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Solution

The third proportional to 686,233.69 and 1,061,608.78 is: 1,642,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,233.69 : 1,061,608.78 = 1,061,608.78 : x
  2. Step 2: Convert to fraction form
    686,233.69/1,061,608.78 = 1,061,608.78/x
  3. Step 3: Cross multiply
    686,233.69x = 1,061,608.78 × 1,061,608.78
  4. Step 4: Simplify right side
    686,233.69x = 1,127,013,204,427.11
  5. Step 5: Solve for x
    x = 1,127,013,204,427.11/686,233.69
  6. Step 6: Final answer
    x = 1,642,316.93

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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.