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Finding the Third Proportional to 683,839.69 and 1,488,090.94

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Solution

The third proportional to 683,839.69 and 1,488,090.94 is: 3,238,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,839.69 : 1,488,090.94 = 1,488,090.94 : x
  2. Step 2: Convert to fraction form
    683,839.69/1,488,090.94 = 1,488,090.94/x
  3. Step 3: Cross multiply
    683,839.69x = 1,488,090.94 × 1,488,090.94
  4. Step 4: Simplify right side
    683,839.69x = 2,214,414,638,269.63
  5. Step 5: Solve for x
    x = 2,214,414,638,269.63/683,839.69
  6. Step 6: Final answer
    x = 3,238,207.26

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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.