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Finding the Third Proportional to 1,463,882.81 and 3,172,092.94

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Solution

The third proportional to 1,463,882.81 and 3,172,092.94 is: 6,873,619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463,882.81 : 3,172,092.94 = 3,172,092.94 : x
  2. Step 2: Convert to fraction form
    1,463,882.81/3,172,092.94 = 3,172,092.94/x
  3. Step 3: Cross multiply
    1,463,882.81x = 3,172,092.94 × 3,172,092.94
  4. Step 4: Simplify right side
    1,463,882.81x = 10,062,173,604,137.38
  5. Step 5: Solve for x
    x = 10,062,173,604,137.38/1,463,882.81
  6. Step 6: Final answer
    x = 6,873,619.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.