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Finding the Third Proportional to 981,663 and 2,052,258

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Solution

The third proportional to 981,663 and 2,052,258 is: 4,290,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,663 : 2,052,258 = 2,052,258 : x
  2. Step 2: Convert to fraction form
    981,663/2,052,258 = 2,052,258/x
  3. Step 3: Cross multiply
    981,663x = 2,052,258 × 2,052,258
  4. Step 4: Simplify right side
    981,663x = 4,211,762,898,564
  5. Step 5: Solve for x
    x = 4,211,762,898,564/981,663
  6. Step 6: Final answer
    x = 4,290,436.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.