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Finding the Third Proportional to 466,082 and 993,172

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Solution

The third proportional to 466,082 and 993,172 is: 2,116,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,082 : 993,172 = 993,172 : x
  2. Step 2: Convert to fraction form
    466,082/993,172 = 993,172/x
  3. Step 3: Cross multiply
    466,082x = 993,172 × 993,172
  4. Step 4: Simplify right side
    466,082x = 986,390,621,584
  5. Step 5: Solve for x
    x = 986,390,621,584/466,082
  6. Step 6: Final answer
    x = 2,116,345.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.