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Finding the Third Proportional to 459,162.38 and 1,072,221.47

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Solution

The third proportional to 459,162.38 and 1,072,221.47 is: 2,503,817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,162.38 : 1,072,221.47 = 1,072,221.47 : x
  2. Step 2: Convert to fraction form
    459,162.38/1,072,221.47 = 1,072,221.47/x
  3. Step 3: Cross multiply
    459,162.38x = 1,072,221.47 × 1,072,221.47
  4. Step 4: Simplify right side
    459,162.38x = 1,149,658,878,048.41
  5. Step 5: Solve for x
    x = 1,149,658,878,048.41/459,162.38
  6. Step 6: Final answer
    x = 2,503,817.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.