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Finding the Third Proportional to 748,756 and 1,222,512

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Solution

The third proportional to 748,756 and 1,222,512 is: 1,996,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,756 : 1,222,512 = 1,222,512 : x
  2. Step 2: Convert to fraction form
    748,756/1,222,512 = 1,222,512/x
  3. Step 3: Cross multiply
    748,756x = 1,222,512 × 1,222,512
  4. Step 4: Simplify right side
    748,756x = 1,494,535,590,144
  5. Step 5: Solve for x
    x = 1,494,535,590,144/748,756
  6. Step 6: Final answer
    x = 1,996,024.86

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.