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Finding the Third Proportional to 984,151.69 and 1,476,227.81

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Solution

The third proportional to 984,151.69 and 1,476,227.81 is: 2,214,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,151.69 : 1,476,227.81 = 1,476,227.81 : x
  2. Step 2: Convert to fraction form
    984,151.69/1,476,227.81 = 1,476,227.81/x
  3. Step 3: Cross multiply
    984,151.69x = 1,476,227.81 × 1,476,227.81
  4. Step 4: Simplify right side
    984,151.69x = 2,179,248,554,398.54
  5. Step 5: Solve for x
    x = 2,179,248,554,398.54/984,151.69
  6. Step 6: Final answer
    x = 2,214,342.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.