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Finding the Third Proportional to 463,613.63 and 962,743.22

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Solution

The third proportional to 463,613.63 and 962,743.22 is: 1,999,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,613.63 : 962,743.22 = 962,743.22 : x
  2. Step 2: Convert to fraction form
    463,613.63/962,743.22 = 962,743.22/x
  3. Step 3: Cross multiply
    463,613.63x = 962,743.22 × 962,743.22
  4. Step 4: Simplify right side
    463,613.63x = 926,874,505,249.11
  5. Step 5: Solve for x
    x = 926,874,505,249.11/463,613.63
  6. Step 6: Final answer
    x = 1,999,239.14

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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.