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Finding the Third Proportional to 646,296 and 1,323,936

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Solution

The third proportional to 646,296 and 1,323,936 is: 2,712,080.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,296 : 1,323,936 = 1,323,936 : x
  2. Step 2: Convert to fraction form
    646,296/1,323,936 = 1,323,936/x
  3. Step 3: Cross multiply
    646,296x = 1,323,936 × 1,323,936
  4. Step 4: Simplify right side
    646,296x = 1,752,806,532,096
  5. Step 5: Solve for x
    x = 1,752,806,532,096/646,296
  6. Step 6: Final answer
    x = 2,712,080.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.