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Finding the Third Proportional to 414,162 and 896,028

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Solution

The third proportional to 414,162 and 896,028 is: 1,938,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,162 : 896,028 = 896,028 : x
  2. Step 2: Convert to fraction form
    414,162/896,028 = 896,028/x
  3. Step 3: Cross multiply
    414,162x = 896,028 × 896,028
  4. Step 4: Simplify right side
    414,162x = 802,866,176,784
  5. Step 5: Solve for x
    x = 802,866,176,784/414,162
  6. Step 6: Final answer
    x = 1,938,531.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.