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Finding the Third Proportional to 683,830.69 and 1,488,066.19

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Solution

The third proportional to 683,830.69 and 1,488,066.19 is: 3,238,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,830.69 : 1,488,066.19 = 1,488,066.19 : x
  2. Step 2: Convert to fraction form
    683,830.69/1,488,066.19 = 1,488,066.19/x
  3. Step 3: Cross multiply
    683,830.69x = 1,488,066.19 × 1,488,066.19
  4. Step 4: Simplify right side
    683,830.69x = 2,214,340,978,380.79
  5. Step 5: Solve for x
    x = 2,214,340,978,380.79/683,830.69
  6. Step 6: Final answer
    x = 3,238,142.16

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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.