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Finding the Third Proportional to 746,541.56 and 1,123,497.21

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Solution

The third proportional to 746,541.56 and 1,123,497.21 is: 1,690,791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,541.56 : 1,123,497.21 = 1,123,497.21 : x
  2. Step 2: Convert to fraction form
    746,541.56/1,123,497.21 = 1,123,497.21/x
  3. Step 3: Cross multiply
    746,541.56x = 1,123,497.21 × 1,123,497.21
  4. Step 4: Simplify right side
    746,541.56x = 1,262,245,982,984.34
  5. Step 5: Solve for x
    x = 1,262,245,982,984.34/746,541.56
  6. Step 6: Final answer
    x = 1,690,791.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.