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Finding the Third Proportional to 446,259 and 981,090

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Solution

The third proportional to 446,259 and 981,090 is: 2,156,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,259 : 981,090 = 981,090 : x
  2. Step 2: Convert to fraction form
    446,259/981,090 = 981,090/x
  3. Step 3: Cross multiply
    446,259x = 981,090 × 981,090
  4. Step 4: Simplify right side
    446,259x = 962,537,588,100
  5. Step 5: Solve for x
    x = 962,537,588,100/446,259
  6. Step 6: Final answer
    x = 2,156,903.48

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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.