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Finding the Third Proportional to 509,492 and 1,079,670

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Solution

The third proportional to 509,492 and 1,079,670 is: 2,287,940.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,492 : 1,079,670 = 1,079,670 : x
  2. Step 2: Convert to fraction form
    509,492/1,079,670 = 1,079,670/x
  3. Step 3: Cross multiply
    509,492x = 1,079,670 × 1,079,670
  4. Step 4: Simplify right side
    509,492x = 1,165,687,308,900
  5. Step 5: Solve for x
    x = 1,165,687,308,900/509,492
  6. Step 6: Final answer
    x = 2,287,940.36

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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.