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Finding the Third Proportional to 590,760 and 1,296,405

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Solution

The third proportional to 590,760 and 1,296,405 is: 2,844,921.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,760 : 1,296,405 = 1,296,405 : x
  2. Step 2: Convert to fraction form
    590,760/1,296,405 = 1,296,405/x
  3. Step 3: Cross multiply
    590,760x = 1,296,405 × 1,296,405
  4. Step 4: Simplify right side
    590,760x = 1,680,665,924,025
  5. Step 5: Solve for x
    x = 1,680,665,924,025/590,760
  6. Step 6: Final answer
    x = 2,844,921.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.