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Finding the Third Proportional to 981,644 and 2,140,676

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Solution

The third proportional to 981,644 and 2,140,676 is: 4,668,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,644 : 2,140,676 = 2,140,676 : x
  2. Step 2: Convert to fraction form
    981,644/2,140,676 = 2,140,676/x
  3. Step 3: Cross multiply
    981,644x = 2,140,676 × 2,140,676
  4. Step 4: Simplify right side
    981,644x = 4,582,493,736,976
  5. Step 5: Solve for x
    x = 4,582,493,736,976/981,644
  6. Step 6: Final answer
    x = 4,668,182.90

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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.