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Finding the Third Proportional to 499,672.13 and 1,098,991.13

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Solution

The third proportional to 499,672.13 and 1,098,991.13 is: 2,417,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,672.13 : 1,098,991.13 = 1,098,991.13 : x
  2. Step 2: Convert to fraction form
    499,672.13/1,098,991.13 = 1,098,991.13/x
  3. Step 3: Cross multiply
    499,672.13x = 1,098,991.13 × 1,098,991.13
  4. Step 4: Simplify right side
    499,672.13x = 1,207,781,492,828.77
  5. Step 5: Solve for x
    x = 1,207,781,492,828.77/499,672.13
  6. Step 6: Final answer
    x = 2,417,148.03

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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.