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Finding the Third Proportional to 446,257 and 981,088

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Solution

The third proportional to 446,257 and 981,088 is: 2,156,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,257 : 981,088 = 981,088 : x
  2. Step 2: Convert to fraction form
    446,257/981,088 = 981,088/x
  3. Step 3: Cross multiply
    446,257x = 981,088 × 981,088
  4. Step 4: Simplify right side
    446,257x = 962,533,663,744
  5. Step 5: Solve for x
    x = 962,533,663,744/446,257
  6. Step 6: Final answer
    x = 2,156,904.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.