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Finding the Third Proportional to 493,149.47 and 1,062,479.44

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Solution

The third proportional to 493,149.47 and 1,062,479.44 is: 2,289,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,149.47 : 1,062,479.44 = 1,062,479.44 : x
  2. Step 2: Convert to fraction form
    493,149.47/1,062,479.44 = 1,062,479.44/x
  3. Step 3: Cross multiply
    493,149.47x = 1,062,479.44 × 1,062,479.44
  4. Step 4: Simplify right side
    493,149.47x = 1,128,862,555,110.32
  5. Step 5: Solve for x
    x = 1,128,862,555,110.32/493,149.47
  6. Step 6: Final answer
    x = 2,289,088.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.