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Finding the Third Proportional to 3,073,448.81 and 4,510,596.38

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Solution

The third proportional to 3,073,448.81 and 4,510,596.38 is: 6,619,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073,448.81 : 4,510,596.38 = 4,510,596.38 : x
  2. Step 2: Convert to fraction form
    3,073,448.81/4,510,596.38 = 4,510,596.38/x
  3. Step 3: Cross multiply
    3,073,448.81x = 4,510,596.38 × 4,510,596.38
  4. Step 4: Simplify right side
    3,073,448.81x = 20,345,479,658,163.14
  5. Step 5: Solve for x
    x = 20,345,479,658,163.14/3,073,448.81
  6. Step 6: Final answer
    x = 6,619,755.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.