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Finding the Third Proportional to 464,838 and 981,900

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Solution

The third proportional to 464,838 and 981,900 is: 2,074,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,838 : 981,900 = 981,900 : x
  2. Step 2: Convert to fraction form
    464,838/981,900 = 981,900/x
  3. Step 3: Cross multiply
    464,838x = 981,900 × 981,900
  4. Step 4: Simplify right side
    464,838x = 964,127,610,000
  5. Step 5: Solve for x
    x = 964,127,610,000/464,838
  6. Step 6: Final answer
    x = 2,074,115.30

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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.