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Finding the Third Proportional to 3,194,911.69 and 4,825,631.53

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Solution

The third proportional to 3,194,911.69 and 4,825,631.53 is: 7,288,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,911.69 : 4,825,631.53 = 4,825,631.53 : x
  2. Step 2: Convert to fraction form
    3,194,911.69/4,825,631.53 = 4,825,631.53/x
  3. Step 3: Cross multiply
    3,194,911.69x = 4,825,631.53 × 4,825,631.53
  4. Step 4: Simplify right side
    3,194,911.69x = 23,286,719,675,394.22
  5. Step 5: Solve for x
    x = 23,286,719,675,394.22/3,194,911.69
  6. Step 6: Final answer
    x = 7,288,689.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.