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Finding the Third Proportional to 596,192 and 1,277,696

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Solution

The third proportional to 596,192 and 1,277,696 is: 2,738,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,192 : 1,277,696 = 1,277,696 : x
  2. Step 2: Convert to fraction form
    596,192/1,277,696 = 1,277,696/x
  3. Step 3: Cross multiply
    596,192x = 1,277,696 × 1,277,696
  4. Step 4: Simplify right side
    596,192x = 1,632,507,068,416
  5. Step 5: Solve for x
    x = 1,632,507,068,416/596,192
  6. Step 6: Final answer
    x = 2,738,223.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.