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Finding the Third Proportional to 498,444.47 and 1,093,389.47

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Solution

The third proportional to 498,444.47 and 1,093,389.47 is: 2,398,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,444.47 : 1,093,389.47 = 1,093,389.47 : x
  2. Step 2: Convert to fraction form
    498,444.47/1,093,389.47 = 1,093,389.47/x
  3. Step 3: Cross multiply
    498,444.47x = 1,093,389.47 × 1,093,389.47
  4. Step 4: Simplify right side
    498,444.47x = 1,195,500,530,373.41
  5. Step 5: Solve for x
    x = 1,195,500,530,373.41/498,444.47
  6. Step 6: Final answer
    x = 2,398,462.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.