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Finding the Third Proportional to 493,924 and 1,078,244

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Solution

The third proportional to 493,924 and 1,078,244 is: 2,353,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,924 : 1,078,244 = 1,078,244 : x
  2. Step 2: Convert to fraction form
    493,924/1,078,244 = 1,078,244/x
  3. Step 3: Cross multiply
    493,924x = 1,078,244 × 1,078,244
  4. Step 4: Simplify right side
    493,924x = 1,162,610,123,536
  5. Step 5: Solve for x
    x = 1,162,610,123,536/493,924
  6. Step 6: Final answer
    x = 2,353,823.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.