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Finding the Third Proportional to 512,508 and 1,088,082

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Solution

The third proportional to 512,508 and 1,088,082 is: 2,310,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,508 : 1,088,082 = 1,088,082 : x
  2. Step 2: Convert to fraction form
    512,508/1,088,082 = 1,088,082/x
  3. Step 3: Cross multiply
    512,508x = 1,088,082 × 1,088,082
  4. Step 4: Simplify right side
    512,508x = 1,183,922,438,724
  5. Step 5: Solve for x
    x = 1,183,922,438,724/512,508
  6. Step 6: Final answer
    x = 2,310,056.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.