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Finding the Third Proportional to 499,668.75 and 1,098,982.69

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Solution

The third proportional to 499,668.75 and 1,098,982.69 is: 2,417,127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,668.75 : 1,098,982.69 = 1,098,982.69 : x
  2. Step 2: Convert to fraction form
    499,668.75/1,098,982.69 = 1,098,982.69/x
  3. Step 3: Cross multiply
    499,668.75x = 1,098,982.69 × 1,098,982.69
  4. Step 4: Simplify right side
    499,668.75x = 1,207,762,947,424.72
  5. Step 5: Solve for x
    x = 1,207,762,947,424.72/499,668.75
  6. Step 6: Final answer
    x = 2,417,127.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.