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Finding the Third Proportional to 557,450 and 1,193,606

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Solution

The third proportional to 557,450 and 1,193,606 is: 2,555,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,450 : 1,193,606 = 1,193,606 : x
  2. Step 2: Convert to fraction form
    557,450/1,193,606 = 1,193,606/x
  3. Step 3: Cross multiply
    557,450x = 1,193,606 × 1,193,606
  4. Step 4: Simplify right side
    557,450x = 1,424,695,283,236
  5. Step 5: Solve for x
    x = 1,424,695,283,236/557,450
  6. Step 6: Final answer
    x = 2,555,736.45

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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.