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Finding the Third Proportional to 573,169 and 1,245,845

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Solution

The third proportional to 573,169 and 1,245,845 is: 2,707,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,169 : 1,245,845 = 1,245,845 : x
  2. Step 2: Convert to fraction form
    573,169/1,245,845 = 1,245,845/x
  3. Step 3: Cross multiply
    573,169x = 1,245,845 × 1,245,845
  4. Step 4: Simplify right side
    573,169x = 1,552,129,764,025
  5. Step 5: Solve for x
    x = 1,552,129,764,025/573,169
  6. Step 6: Final answer
    x = 2,707,979.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.