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Finding the Third Proportional to 493,416 and 1,025,615

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Solution

The third proportional to 493,416 and 1,025,615 is: 2,131,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,416 : 1,025,615 = 1,025,615 : x
  2. Step 2: Convert to fraction form
    493,416/1,025,615 = 1,025,615/x
  3. Step 3: Cross multiply
    493,416x = 1,025,615 × 1,025,615
  4. Step 4: Simplify right side
    493,416x = 1,051,886,128,225
  5. Step 5: Solve for x
    x = 1,051,886,128,225/493,416
  6. Step 6: Final answer
    x = 2,131,844.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.