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Finding the Third Proportional to 509,330 and 1,060,517

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Solution

The third proportional to 509,330 and 1,060,517 is: 2,208,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,330 : 1,060,517 = 1,060,517 : x
  2. Step 2: Convert to fraction form
    509,330/1,060,517 = 1,060,517/x
  3. Step 3: Cross multiply
    509,330x = 1,060,517 × 1,060,517
  4. Step 4: Simplify right side
    509,330x = 1,124,696,307,289
  5. Step 5: Solve for x
    x = 1,124,696,307,289/509,330
  6. Step 6: Final answer
    x = 2,208,187.83

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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.