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Finding the Third Proportional to 464,836 and 981,896

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Solution

The third proportional to 464,836 and 981,896 is: 2,074,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,836 : 981,896 = 981,896 : x
  2. Step 2: Convert to fraction form
    464,836/981,896 = 981,896/x
  3. Step 3: Cross multiply
    464,836x = 981,896 × 981,896
  4. Step 4: Simplify right side
    464,836x = 964,119,754,816
  5. Step 5: Solve for x
    x = 964,119,754,816/464,836
  6. Step 6: Final answer
    x = 2,074,107.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.