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Finding the Third Proportional to 492,357 and 1,068,744

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Solution

The third proportional to 492,357 and 1,068,744 is: 2,319,889.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,357 : 1,068,744 = 1,068,744 : x
  2. Step 2: Convert to fraction form
    492,357/1,068,744 = 1,068,744/x
  3. Step 3: Cross multiply
    492,357x = 1,068,744 × 1,068,744
  4. Step 4: Simplify right side
    492,357x = 1,142,213,737,536
  5. Step 5: Solve for x
    x = 1,142,213,737,536/492,357
  6. Step 6: Final answer
    x = 2,319,889.30

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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.