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Finding the Third Proportional to 683,827.88 and 1,488,061.69

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Solution

The third proportional to 683,827.88 and 1,488,061.69 is: 3,238,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,827.88 : 1,488,061.69 = 1,488,061.69 : x
  2. Step 2: Convert to fraction form
    683,827.88/1,488,061.69 = 1,488,061.69/x
  3. Step 3: Cross multiply
    683,827.88x = 1,488,061.69 × 1,488,061.69
  4. Step 4: Simplify right side
    683,827.88x = 2,214,327,585,805.35
  5. Step 5: Solve for x
    x = 2,214,327,585,805.35/683,827.88
  6. Step 6: Final answer
    x = 3,238,135.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.