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Finding the Third Proportional to 519,534 and 1,079,892

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Solution

The third proportional to 519,534 and 1,079,892 is: 2,244,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,534 : 1,079,892 = 1,079,892 : x
  2. Step 2: Convert to fraction form
    519,534/1,079,892 = 1,079,892/x
  3. Step 3: Cross multiply
    519,534x = 1,079,892 × 1,079,892
  4. Step 4: Simplify right side
    519,534x = 1,166,166,731,664
  5. Step 5: Solve for x
    x = 1,166,166,731,664/519,534
  6. Step 6: Final answer
    x = 2,244,639.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.