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Finding the Third Proportional to 938,499.75 and 2,049,097.50

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Solution

The third proportional to 938,499.75 and 2,049,097.50 is: 4,473,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,499.75 : 2,049,097.50 = 2,049,097.50 : x
  2. Step 2: Convert to fraction form
    938,499.75/2,049,097.50 = 2,049,097.50/x
  3. Step 3: Cross multiply
    938,499.75x = 2,049,097.50 × 2,049,097.50
  4. Step 4: Simplify right side
    938,499.75x = 4,198,800,564,506.25
  5. Step 5: Solve for x
    x = 4,198,800,564,506.25/938,499.75
  6. Step 6: Final answer
    x = 4,473,949.58

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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.