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Finding the Third Proportional to 509,484 and 1,079,655

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Solution

The third proportional to 509,484 and 1,079,655 is: 2,287,912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,484 : 1,079,655 = 1,079,655 : x
  2. Step 2: Convert to fraction form
    509,484/1,079,655 = 1,079,655/x
  3. Step 3: Cross multiply
    509,484x = 1,079,655 × 1,079,655
  4. Step 4: Simplify right side
    509,484x = 1,165,654,919,025
  5. Step 5: Solve for x
    x = 1,165,654,919,025/509,484
  6. Step 6: Final answer
    x = 2,287,912.71

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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.