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Finding the Third Proportional to 517,574 and 1,131,103

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Solution

The third proportional to 517,574 and 1,131,103 is: 2,471,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,574 : 1,131,103 = 1,131,103 : x
  2. Step 2: Convert to fraction form
    517,574/1,131,103 = 1,131,103/x
  3. Step 3: Cross multiply
    517,574x = 1,131,103 × 1,131,103
  4. Step 4: Simplify right side
    517,574x = 1,279,393,996,609
  5. Step 5: Solve for x
    x = 1,279,393,996,609/517,574
  6. Step 6: Final answer
    x = 2,471,905.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.