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Finding the Third Proportional to 683,842 and 1,488,086

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Solution

The third proportional to 683,842 and 1,488,086 is: 3,238,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,842 : 1,488,086 = 1,488,086 : x
  2. Step 2: Convert to fraction form
    683,842/1,488,086 = 1,488,086/x
  3. Step 3: Cross multiply
    683,842x = 1,488,086 × 1,488,086
  4. Step 4: Simplify right side
    683,842x = 2,214,399,943,396
  5. Step 5: Solve for x
    x = 2,214,399,943,396/683,842
  6. Step 6: Final answer
    x = 3,238,174.82

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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.