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Finding the Third Proportional to 564,382.69 and 1,228,399.17

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Solution

The third proportional to 564,382.69 and 1,228,399.17 is: 2,673,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,382.69 : 1,228,399.17 = 1,228,399.17 : x
  2. Step 2: Convert to fraction form
    564,382.69/1,228,399.17 = 1,228,399.17/x
  3. Step 3: Cross multiply
    564,382.69x = 1,228,399.17 × 1,228,399.17
  4. Step 4: Simplify right side
    564,382.69x = 1,508,964,525,463.19
  5. Step 5: Solve for x
    x = 1,508,964,525,463.19/564,382.69
  6. Step 6: Final answer
    x = 2,673,654.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.