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Finding the Third Proportional to 499,663.50 and 1,098,972

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Solution

The third proportional to 499,663.50 and 1,098,972 is: 2,417,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,663.50 : 1,098,972 = 1,098,972 : x
  2. Step 2: Convert to fraction form
    499,663.50/1,098,972 = 1,098,972/x
  3. Step 3: Cross multiply
    499,663.50x = 1,098,972 × 1,098,972
  4. Step 4: Simplify right side
    499,663.50x = 1,207,739,456,784
  5. Step 5: Solve for x
    x = 1,207,739,456,784/499,663.50
  6. Step 6: Final answer
    x = 2,417,105.63

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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.