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Finding the Third Proportional to 470,988 and 981,828

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Solution

The third proportional to 470,988 and 981,828 is: 2,046,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,988 : 981,828 = 981,828 : x
  2. Step 2: Convert to fraction form
    470,988/981,828 = 981,828/x
  3. Step 3: Cross multiply
    470,988x = 981,828 × 981,828
  4. Step 4: Simplify right side
    470,988x = 963,986,221,584
  5. Step 5: Solve for x
    x = 963,986,221,584/470,988
  6. Step 6: Final answer
    x = 2,046,732.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.