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Finding the Third Proportional to 509,306 and 1,079,324

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Solution

The third proportional to 509,306 and 1,079,324 is: 2,287,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,306 : 1,079,324 = 1,079,324 : x
  2. Step 2: Convert to fraction form
    509,306/1,079,324 = 1,079,324/x
  3. Step 3: Cross multiply
    509,306x = 1,079,324 × 1,079,324
  4. Step 4: Simplify right side
    509,306x = 1,164,940,296,976
  5. Step 5: Solve for x
    x = 1,164,940,296,976/509,306
  6. Step 6: Final answer
    x = 2,287,309.20

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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.