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Finding the Third Proportional to 509,313 and 1,079,337

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Solution

The third proportional to 509,313 and 1,079,337 is: 2,287,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,313 : 1,079,337 = 1,079,337 : x
  2. Step 2: Convert to fraction form
    509,313/1,079,337 = 1,079,337/x
  3. Step 3: Cross multiply
    509,313x = 1,079,337 × 1,079,337
  4. Step 4: Simplify right side
    509,313x = 1,164,968,359,569
  5. Step 5: Solve for x
    x = 1,164,968,359,569/509,313
  6. Step 6: Final answer
    x = 2,287,332.86

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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.